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Finding the Fourth Proportional to 4,166.14, 5,747.98 and 2,510.14

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Solution

The fourth proportional to 4,166.14, 5,747.98 and 2,510.14 is: 3,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.14 : 5,747.98 = 2,510.14 : x
  2. Step 2: Convert to fraction form
    4,166.14/5,747.98 = 2,510.14/x
  3. Step 3: Cross multiply
    4,166.14x = 5,747.98 × 2,510.14
  4. Step 4: Simplify right side
    4,166.14x = 14,428,234.52
  5. Step 5: Solve for x
    x = 14,428,234.52/4,166.14
  6. Step 6: Final answer
    x = 3,463.21

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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.