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Finding the Fourth Proportional to 4,147.35, 5,725.22 and 2,657.31

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Solution

The fourth proportional to 4,147.35, 5,725.22 and 2,657.31 is: 3,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.35 : 5,725.22 = 2,657.31 : x
  2. Step 2: Convert to fraction form
    4,147.35/5,725.22 = 2,657.31/x
  3. Step 3: Cross multiply
    4,147.35x = 5,725.22 × 2,657.31
  4. Step 4: Simplify right side
    4,147.35x = 15,213,671.07
  5. Step 5: Solve for x
    x = 15,213,671.07/4,147.35
  6. Step 6: Final answer
    x = 3,668.29

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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.