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Finding the Fourth Proportional to 5,762.81, 7,952.66 and 3,244.86

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Solution

The fourth proportional to 5,762.81, 7,952.66 and 3,244.86 is: 4,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.81 : 7,952.66 = 3,244.86 : x
  2. Step 2: Convert to fraction form
    5,762.81/7,952.66 = 3,244.86/x
  3. Step 3: Cross multiply
    5,762.81x = 7,952.66 × 3,244.86
  4. Step 4: Simplify right side
    5,762.81x = 25,805,252.10
  5. Step 5: Solve for x
    x = 25,805,252.10/5,762.81
  6. Step 6: Final answer
    x = 4,477.90

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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.