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Finding the Fourth Proportional to 4,272.32, 6,407.84 and 3,546.56

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Solution

The fourth proportional to 4,272.32, 6,407.84 and 3,546.56 is: 5,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.32 : 6,407.84 = 3,546.56 : x
  2. Step 2: Convert to fraction form
    4,272.32/6,407.84 = 3,546.56/x
  3. Step 3: Cross multiply
    4,272.32x = 6,407.84 × 3,546.56
  4. Step 4: Simplify right side
    4,272.32x = 22,725,789.03
  5. Step 5: Solve for x
    x = 22,725,789.03/4,272.32
  6. Step 6: Final answer
    x = 5,319.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.