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Finding the Fourth Proportional to 3,242.38, 4,859.46 and 2,071.92

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Solution

The fourth proportional to 3,242.38, 4,859.46 and 2,071.92 is: 3,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.38 : 4,859.46 = 2,071.92 : x
  2. Step 2: Convert to fraction form
    3,242.38/4,859.46 = 2,071.92/x
  3. Step 3: Cross multiply
    3,242.38x = 4,859.46 × 2,071.92
  4. Step 4: Simplify right side
    3,242.38x = 10,068,412.36
  5. Step 5: Solve for x
    x = 10,068,412.36/3,242.38
  6. Step 6: Final answer
    x = 3,105.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.