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Finding the Fourth Proportional to 4,148.62, 5,725.07 and 2,260.30

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Solution

The fourth proportional to 4,148.62, 5,725.07 and 2,260.30 is: 3,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.62 : 5,725.07 = 2,260.30 : x
  2. Step 2: Convert to fraction form
    4,148.62/5,725.07 = 2,260.30/x
  3. Step 3: Cross multiply
    4,148.62x = 5,725.07 × 2,260.30
  4. Step 4: Simplify right side
    4,148.62x = 12,940,375.72
  5. Step 5: Solve for x
    x = 12,940,375.72/4,148.62
  6. Step 6: Final answer
    x = 3,119.20

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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.