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Finding the Fourth Proportional to 3,708.54, 5,117.94 and 2,136.78

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Solution

The fourth proportional to 3,708.54, 5,117.94 and 2,136.78 is: 2,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.54 : 5,117.94 = 2,136.78 : x
  2. Step 2: Convert to fraction form
    3,708.54/5,117.94 = 2,136.78/x
  3. Step 3: Cross multiply
    3,708.54x = 5,117.94 × 2,136.78
  4. Step 4: Simplify right side
    3,708.54x = 10,935,911.83
  5. Step 5: Solve for x
    x = 10,935,911.83/3,708.54
  6. Step 6: Final answer
    x = 2,948.85

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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.