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Finding the Fourth Proportional to 3,666.29, 5,061.91 and 2,271.47

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Solution

The fourth proportional to 3,666.29, 5,061.91 and 2,271.47 is: 3,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.29 : 5,061.91 = 2,271.47 : x
  2. Step 2: Convert to fraction form
    3,666.29/5,061.91 = 2,271.47/x
  3. Step 3: Cross multiply
    3,666.29x = 5,061.91 × 2,271.47
  4. Step 4: Simplify right side
    3,666.29x = 11,497,976.71
  5. Step 5: Solve for x
    x = 11,497,976.71/3,666.29
  6. Step 6: Final answer
    x = 3,136.13

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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.