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Finding the Fourth Proportional to 4,102.92, 5,661.19 and 2,423.49

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Solution

The fourth proportional to 4,102.92, 5,661.19 and 2,423.49 is: 3,343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.92 : 5,661.19 = 2,423.49 : x
  2. Step 2: Convert to fraction form
    4,102.92/5,661.19 = 2,423.49/x
  3. Step 3: Cross multiply
    4,102.92x = 5,661.19 × 2,423.49
  4. Step 4: Simplify right side
    4,102.92x = 13,719,819.15
  5. Step 5: Solve for x
    x = 13,719,819.15/4,102.92
  6. Step 6: Final answer
    x = 3,343.92

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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.