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Finding the Fourth Proportional to 3,647.42, 5,472.92 and 2,260.39

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Solution

The fourth proportional to 3,647.42, 5,472.92 and 2,260.39 is: 3,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.42 : 5,472.92 = 2,260.39 : x
  2. Step 2: Convert to fraction form
    3,647.42/5,472.92 = 2,260.39/x
  3. Step 3: Cross multiply
    3,647.42x = 5,472.92 × 2,260.39
  4. Step 4: Simplify right side
    3,647.42x = 12,370,894.97
  5. Step 5: Solve for x
    x = 12,370,894.97/3,647.42
  6. Step 6: Final answer
    x = 3,391.68

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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.