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Finding the Fourth Proportional to 3,644.52, 5,467.84 and 2,165.10

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Solution

The fourth proportional to 3,644.52, 5,467.84 and 2,165.10 is: 3,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.52 : 5,467.84 = 2,165.10 : x
  2. Step 2: Convert to fraction form
    3,644.52/5,467.84 = 2,165.10/x
  3. Step 3: Cross multiply
    3,644.52x = 5,467.84 × 2,165.10
  4. Step 4: Simplify right side
    3,644.52x = 11,838,420.38
  5. Step 5: Solve for x
    x = 11,838,420.38/3,644.52
  6. Step 6: Final answer
    x = 3,248.28

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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.