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Finding the Fourth Proportional to 3,917.52, 5,404.86 and 2,237.75

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Solution

The fourth proportional to 3,917.52, 5,404.86 and 2,237.75 is: 3,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.52 : 5,404.86 = 2,237.75 : x
  2. Step 2: Convert to fraction form
    3,917.52/5,404.86 = 2,237.75/x
  3. Step 3: Cross multiply
    3,917.52x = 5,404.86 × 2,237.75
  4. Step 4: Simplify right side
    3,917.52x = 12,094,725.47
  5. Step 5: Solve for x
    x = 12,094,725.47/3,917.52
  6. Step 6: Final answer
    x = 3,087.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.