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Finding the Fourth Proportional to 5,255.68, 7,252.86 and 3,159.84

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Solution

The fourth proportional to 5,255.68, 7,252.86 and 3,159.84 is: 4,360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.68 : 7,252.86 = 3,159.84 : x
  2. Step 2: Convert to fraction form
    5,255.68/7,252.86 = 3,159.84/x
  3. Step 3: Cross multiply
    5,255.68x = 7,252.86 × 3,159.84
  4. Step 4: Simplify right side
    5,255.68x = 22,917,877.14
  5. Step 5: Solve for x
    x = 22,917,877.14/5,255.68
  6. Step 6: Final answer
    x = 4,360.59

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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.