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Finding the Fourth Proportional to 4,672.71, 6,440.18 and 3,491.73

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Solution

The fourth proportional to 4,672.71, 6,440.18 and 3,491.73 is: 4,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.71 : 6,440.18 = 3,491.73 : x
  2. Step 2: Convert to fraction form
    4,672.71/6,440.18 = 3,491.73/x
  3. Step 3: Cross multiply
    4,672.71x = 6,440.18 × 3,491.73
  4. Step 4: Simplify right side
    4,672.71x = 22,487,352.25
  5. Step 5: Solve for x
    x = 22,487,352.25/4,672.71
  6. Step 6: Final answer
    x = 4,812.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.