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Finding the Fourth Proportional to 3,898.13, 5,380.02 and 2,325.92

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Solution

The fourth proportional to 3,898.13, 5,380.02 and 2,325.92 is: 3,210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.13 : 5,380.02 = 2,325.92 : x
  2. Step 2: Convert to fraction form
    3,898.13/5,380.02 = 2,325.92/x
  3. Step 3: Cross multiply
    3,898.13x = 5,380.02 × 2,325.92
  4. Step 4: Simplify right side
    3,898.13x = 12,513,469.22
  5. Step 5: Solve for x
    x = 12,513,469.22/3,898.13
  6. Step 6: Final answer
    x = 3,210.13

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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.