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Finding the Fourth Proportional to 4,600.14, 6,348.42 and 2,712.30

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Solution

The fourth proportional to 4,600.14, 6,348.42 and 2,712.30 is: 3,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.14 : 6,348.42 = 2,712.30 : x
  2. Step 2: Convert to fraction form
    4,600.14/6,348.42 = 2,712.30/x
  3. Step 3: Cross multiply
    4,600.14x = 6,348.42 × 2,712.30
  4. Step 4: Simplify right side
    4,600.14x = 17,218,819.57
  5. Step 5: Solve for x
    x = 17,218,819.57/4,600.14
  6. Step 6: Final answer
    x = 3,743.11

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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.