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Finding the Fourth Proportional to 4,644.88, 6,410.04 and 2,549

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Solution

The fourth proportional to 4,644.88, 6,410.04 and 2,549 is: 3,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.88 : 6,410.04 = 2,549 : x
  2. Step 2: Convert to fraction form
    4,644.88/6,410.04 = 2,549/x
  3. Step 3: Cross multiply
    4,644.88x = 6,410.04 × 2,549
  4. Step 4: Simplify right side
    4,644.88x = 16,339,191.96
  5. Step 5: Solve for x
    x = 16,339,191.96/4,644.88
  6. Step 6: Final answer
    x = 3,517.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.