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Finding the Fourth Proportional to 3,417.20, 5,125.50 and 951.86

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Solution

The fourth proportional to 3,417.20, 5,125.50 and 951.86 is: 1,427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.20 : 5,125.50 = 951.86 : x
  2. Step 2: Convert to fraction form
    3,417.20/5,125.50 = 951.86/x
  3. Step 3: Cross multiply
    3,417.20x = 5,125.50 × 951.86
  4. Step 4: Simplify right side
    3,417.20x = 4,878,758.43
  5. Step 5: Solve for x
    x = 4,878,758.43/3,417.20
  6. Step 6: Final answer
    x = 1,427.71

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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.