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Finding the Fourth Proportional to 3,841.04, 5,299.98 and 2,269.64

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Solution

The fourth proportional to 3,841.04, 5,299.98 and 2,269.64 is: 3,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.04 : 5,299.98 = 2,269.64 : x
  2. Step 2: Convert to fraction form
    3,841.04/5,299.98 = 2,269.64/x
  3. Step 3: Cross multiply
    3,841.04x = 5,299.98 × 2,269.64
  4. Step 4: Simplify right side
    3,841.04x = 12,029,046.61
  5. Step 5: Solve for x
    x = 12,029,046.61/3,841.04
  6. Step 6: Final answer
    x = 3,131.72

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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.