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Finding the Fourth Proportional to 3,718.71, 5,131.85 and 2,146.82

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Solution

The fourth proportional to 3,718.71, 5,131.85 and 2,146.82 is: 2,962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.71 : 5,131.85 = 2,146.82 : x
  2. Step 2: Convert to fraction form
    3,718.71/5,131.85 = 2,146.82/x
  3. Step 3: Cross multiply
    3,718.71x = 5,131.85 × 2,146.82
  4. Step 4: Simplify right side
    3,718.71x = 11,017,121.82
  5. Step 5: Solve for x
    x = 11,017,121.82/3,718.71
  6. Step 6: Final answer
    x = 2,962.62

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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.