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Finding the Fourth Proportional to 3,843.61, 5,304.29 and 2,351.50

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Solution

The fourth proportional to 3,843.61, 5,304.29 and 2,351.50 is: 3,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.61 : 5,304.29 = 2,351.50 : x
  2. Step 2: Convert to fraction form
    3,843.61/5,304.29 = 2,351.50/x
  3. Step 3: Cross multiply
    3,843.61x = 5,304.29 × 2,351.50
  4. Step 4: Simplify right side
    3,843.61x = 12,473,012.92
  5. Step 5: Solve for x
    x = 12,473,012.92/3,843.61
  6. Step 6: Final answer
    x = 3,245.13

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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.