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Finding the Fourth Proportional to 3,930.10, 5,862.04 and 3,657.94

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Solution

The fourth proportional to 3,930.10, 5,862.04 and 3,657.94 is: 5,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.10 : 5,862.04 = 3,657.94 : x
  2. Step 2: Convert to fraction form
    3,930.10/5,862.04 = 3,657.94/x
  3. Step 3: Cross multiply
    3,930.10x = 5,862.04 × 3,657.94
  4. Step 4: Simplify right side
    3,930.10x = 21,442,990.60
  5. Step 5: Solve for x
    x = 21,442,990.60/3,930.10
  6. Step 6: Final answer
    x = 5,456.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.