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Finding the Fourth Proportional to 5,951.35, 8,929 and 2,253.90

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Solution

The fourth proportional to 5,951.35, 8,929 and 2,253.90 is: 3,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.35 : 8,929 = 2,253.90 : x
  2. Step 2: Convert to fraction form
    5,951.35/8,929 = 2,253.90/x
  3. Step 3: Cross multiply
    5,951.35x = 8,929 × 2,253.90
  4. Step 4: Simplify right side
    5,951.35x = 20,125,073.10
  5. Step 5: Solve for x
    x = 20,125,073.10/5,951.35
  6. Step 6: Final answer
    x = 3,381.60

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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.