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Finding the Fourth Proportional to 3,865.98, 5,332.41 and 2,468.10

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Solution

The fourth proportional to 3,865.98, 5,332.41 and 2,468.10 is: 3,404.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.98 : 5,332.41 = 2,468.10 : x
  2. Step 2: Convert to fraction form
    3,865.98/5,332.41 = 2,468.10/x
  3. Step 3: Cross multiply
    3,865.98x = 5,332.41 × 2,468.10
  4. Step 4: Simplify right side
    3,865.98x = 13,160,921.12
  5. Step 5: Solve for x
    x = 13,160,921.12/3,865.98
  6. Step 6: Final answer
    x = 3,404.29

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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.