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Finding the Fourth Proportional to 5,784.81, 7,983.05 and 3,132.19

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Solution

The fourth proportional to 5,784.81, 7,983.05 and 3,132.19 is: 4,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.81 : 7,983.05 = 3,132.19 : x
  2. Step 2: Convert to fraction form
    5,784.81/7,983.05 = 3,132.19/x
  3. Step 3: Cross multiply
    5,784.81x = 7,983.05 × 3,132.19
  4. Step 4: Simplify right side
    5,784.81x = 25,004,429.38
  5. Step 5: Solve for x
    x = 25,004,429.38/5,784.81
  6. Step 6: Final answer
    x = 4,322.43

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.