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Finding the Fourth Proportional to 4,458.71, 6,688.07 and 3,729.71

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Solution

The fourth proportional to 4,458.71, 6,688.07 and 3,729.71 is: 5,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.71 : 6,688.07 = 3,729.71 : x
  2. Step 2: Convert to fraction form
    4,458.71/6,688.07 = 3,729.71/x
  3. Step 3: Cross multiply
    4,458.71x = 6,688.07 × 3,729.71
  4. Step 4: Simplify right side
    4,458.71x = 24,944,573.62
  5. Step 5: Solve for x
    x = 24,944,573.62/4,458.71
  6. Step 6: Final answer
    x = 5,594.57

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