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Finding the Fourth Proportional to 4,687.54, 6,461.17 and 3,428.80

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Solution

The fourth proportional to 4,687.54, 6,461.17 and 3,428.80 is: 4,726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.54 : 6,461.17 = 3,428.80 : x
  2. Step 2: Convert to fraction form
    4,687.54/6,461.17 = 3,428.80/x
  3. Step 3: Cross multiply
    4,687.54x = 6,461.17 × 3,428.80
  4. Step 4: Simplify right side
    4,687.54x = 22,154,034.97
  5. Step 5: Solve for x
    x = 22,154,034.97/4,687.54
  6. Step 6: Final answer
    x = 4,726.16

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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.