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Finding the Fourth Proportional to 3,902.22, 5,854.41 and 1,562.40

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Solution

The fourth proportional to 3,902.22, 5,854.41 and 1,562.40 is: 2,344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.22 : 5,854.41 = 1,562.40 : x
  2. Step 2: Convert to fraction form
    3,902.22/5,854.41 = 1,562.40/x
  3. Step 3: Cross multiply
    3,902.22x = 5,854.41 × 1,562.40
  4. Step 4: Simplify right side
    3,902.22x = 9,146,930.18
  5. Step 5: Solve for x
    x = 9,146,930.18/3,902.22
  6. Step 6: Final answer
    x = 2,344.03

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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.