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Finding the Fourth Proportional to 3,789.70, 5,684.82 and 1,324.24

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Solution

The fourth proportional to 3,789.70, 5,684.82 and 1,324.24 is: 1,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.70 : 5,684.82 = 1,324.24 : x
  2. Step 2: Convert to fraction form
    3,789.70/5,684.82 = 1,324.24/x
  3. Step 3: Cross multiply
    3,789.70x = 5,684.82 × 1,324.24
  4. Step 4: Simplify right side
    3,789.70x = 7,528,066.04
  5. Step 5: Solve for x
    x = 7,528,066.04/3,789.70
  6. Step 6: Final answer
    x = 1,986.45

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.