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Finding the Fourth Proportional to 3,436, 5,153.90 and 1,587.14

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Solution

The fourth proportional to 3,436, 5,153.90 and 1,587.14 is: 2,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436 : 5,153.90 = 1,587.14 : x
  2. Step 2: Convert to fraction form
    3,436/5,153.90 = 1,587.14/x
  3. Step 3: Cross multiply
    3,436x = 5,153.90 × 1,587.14
  4. Step 4: Simplify right side
    3,436x = 8,179,960.85
  5. Step 5: Solve for x
    x = 8,179,960.85/3,436
  6. Step 6: Final answer
    x = 2,380.66

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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.