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Finding the Fourth Proportional to 3,437.88, 5,154.50 and 1,587.97

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Solution

The fourth proportional to 3,437.88, 5,154.50 and 1,587.97 is: 2,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.88 : 5,154.50 = 1,587.97 : x
  2. Step 2: Convert to fraction form
    3,437.88/5,154.50 = 1,587.97/x
  3. Step 3: Cross multiply
    3,437.88x = 5,154.50 × 1,587.97
  4. Step 4: Simplify right side
    3,437.88x = 8,185,191.37
  5. Step 5: Solve for x
    x = 8,185,191.37/3,437.88
  6. Step 6: Final answer
    x = 2,380.88

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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.