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Finding the Fourth Proportional to 5,657.68, 7,807.21 and 3,139.71

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Solution

The fourth proportional to 5,657.68, 7,807.21 and 3,139.71 is: 4,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.68 : 7,807.21 = 3,139.71 : x
  2. Step 2: Convert to fraction form
    5,657.68/7,807.21 = 3,139.71/x
  3. Step 3: Cross multiply
    5,657.68x = 7,807.21 × 3,139.71
  4. Step 4: Simplify right side
    5,657.68x = 24,512,375.31
  5. Step 5: Solve for x
    x = 24,512,375.31/5,657.68
  6. Step 6: Final answer
    x = 4,332.58

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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.