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Finding the Fourth Proportional to 4,917.20, 7,375.89 and 1,454.45

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Solution

The fourth proportional to 4,917.20, 7,375.89 and 1,454.45 is: 2,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.20 : 7,375.89 = 1,454.45 : x
  2. Step 2: Convert to fraction form
    4,917.20/7,375.89 = 1,454.45/x
  3. Step 3: Cross multiply
    4,917.20x = 7,375.89 × 1,454.45
  4. Step 4: Simplify right side
    4,917.20x = 10,727,826.33
  5. Step 5: Solve for x
    x = 10,727,826.33/4,917.20
  6. Step 6: Final answer
    x = 2,181.70

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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.