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Finding the Fourth Proportional to 3,644.71, 5,458.84 and 2,553.95

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Solution

The fourth proportional to 3,644.71, 5,458.84 and 2,553.95 is: 3,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.71 : 5,458.84 = 2,553.95 : x
  2. Step 2: Convert to fraction form
    3,644.71/5,458.84 = 2,553.95/x
  3. Step 3: Cross multiply
    3,644.71x = 5,458.84 × 2,553.95
  4. Step 4: Simplify right side
    3,644.71x = 13,941,604.42
  5. Step 5: Solve for x
    x = 13,941,604.42/3,644.71
  6. Step 6: Final answer
    x = 3,825.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.