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Finding the Fourth Proportional to 3,897.57, 5,378.81 and 2,404.41

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Solution

The fourth proportional to 3,897.57, 5,378.81 and 2,404.41 is: 3,318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.57 : 5,378.81 = 2,404.41 : x
  2. Step 2: Convert to fraction form
    3,897.57/5,378.81 = 2,404.41/x
  3. Step 3: Cross multiply
    3,897.57x = 5,378.81 × 2,404.41
  4. Step 4: Simplify right side
    3,897.57x = 12,932,847.49
  5. Step 5: Solve for x
    x = 12,932,847.49/3,897.57
  6. Step 6: Final answer
    x = 3,318.18

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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.