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Finding the Fourth Proportional to 3,745.01, 5,165.82 and 2,400.16

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Solution

The fourth proportional to 3,745.01, 5,165.82 and 2,400.16 is: 3,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.01 : 5,165.82 = 2,400.16 : x
  2. Step 2: Convert to fraction form
    3,745.01/5,165.82 = 2,400.16/x
  3. Step 3: Cross multiply
    3,745.01x = 5,165.82 × 2,400.16
  4. Step 4: Simplify right side
    3,745.01x = 12,398,794.53
  5. Step 5: Solve for x
    x = 12,398,794.53/3,745.01
  6. Step 6: Final answer
    x = 3,310.75

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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.