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Finding the Fourth Proportional to 3,841.96, 5,301.06 and 2,269.24

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Solution

The fourth proportional to 3,841.96, 5,301.06 and 2,269.24 is: 3,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.96 : 5,301.06 = 2,269.24 : x
  2. Step 2: Convert to fraction form
    3,841.96/5,301.06 = 2,269.24/x
  3. Step 3: Cross multiply
    3,841.96x = 5,301.06 × 2,269.24
  4. Step 4: Simplify right side
    3,841.96x = 12,029,377.39
  5. Step 5: Solve for x
    x = 12,029,377.39/3,841.96
  6. Step 6: Final answer
    x = 3,131.05

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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.