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Finding the Fourth Proportional to 3,842.64, 5,302.98 and 2,351.22

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Solution

The fourth proportional to 3,842.64, 5,302.98 and 2,351.22 is: 3,244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.64 : 5,302.98 = 2,351.22 : x
  2. Step 2: Convert to fraction form
    3,842.64/5,302.98 = 2,351.22/x
  3. Step 3: Cross multiply
    3,842.64x = 5,302.98 × 2,351.22
  4. Step 4: Simplify right side
    3,842.64x = 12,468,472.64
  5. Step 5: Solve for x
    x = 12,468,472.64/3,842.64
  6. Step 6: Final answer
    x = 3,244.77

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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.