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Finding the Fourth Proportional to 3,154.75, 4,349.62 and 2,407.52

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Solution

The fourth proportional to 3,154.75, 4,349.62 and 2,407.52 is: 3,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.75 : 4,349.62 = 2,407.52 : x
  2. Step 2: Convert to fraction form
    3,154.75/4,349.62 = 2,407.52/x
  3. Step 3: Cross multiply
    3,154.75x = 4,349.62 × 2,407.52
  4. Step 4: Simplify right side
    3,154.75x = 10,471,817.80
  5. Step 5: Solve for x
    x = 10,471,817.80/3,154.75
  6. Step 6: Final answer
    x = 3,319.38

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Why These Related Problems?

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