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Finding the Fourth Proportional to 3,920.52, 5,410.42 and 2,152.22

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Solution

The fourth proportional to 3,920.52, 5,410.42 and 2,152.22 is: 2,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.52 : 5,410.42 = 2,152.22 : x
  2. Step 2: Convert to fraction form
    3,920.52/5,410.42 = 2,152.22/x
  3. Step 3: Cross multiply
    3,920.52x = 5,410.42 × 2,152.22
  4. Step 4: Simplify right side
    3,920.52x = 11,644,414.13
  5. Step 5: Solve for x
    x = 11,644,414.13/3,920.52
  6. Step 6: Final answer
    x = 2,970.12

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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.