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Finding the Fourth Proportional to 3,934.57, 5,902.71 and 1,854.58

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Solution

The fourth proportional to 3,934.57, 5,902.71 and 1,854.58 is: 2,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.57 : 5,902.71 = 1,854.58 : x
  2. Step 2: Convert to fraction form
    3,934.57/5,902.71 = 1,854.58/x
  3. Step 3: Cross multiply
    3,934.57x = 5,902.71 × 1,854.58
  4. Step 4: Simplify right side
    3,934.57x = 10,947,047.91
  5. Step 5: Solve for x
    x = 10,947,047.91/3,934.57
  6. Step 6: Final answer
    x = 2,782.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.