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Finding the Fourth Proportional to 5,646.71, 7,793.01 and 3,129.64

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Solution

The fourth proportional to 5,646.71, 7,793.01 and 3,129.64 is: 4,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.71 : 7,793.01 = 3,129.64 : x
  2. Step 2: Convert to fraction form
    5,646.71/7,793.01 = 3,129.64/x
  3. Step 3: Cross multiply
    5,646.71x = 7,793.01 × 3,129.64
  4. Step 4: Simplify right side
    5,646.71x = 24,389,296.33
  5. Step 5: Solve for x
    x = 24,389,296.33/5,646.71
  6. Step 6: Final answer
    x = 4,319.20

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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.