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Finding the Fourth Proportional to 3,798.49, 5,241.04 and 2,306.29

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Solution

The fourth proportional to 3,798.49, 5,241.04 and 2,306.29 is: 3,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.49 : 5,241.04 = 2,306.29 : x
  2. Step 2: Convert to fraction form
    3,798.49/5,241.04 = 2,306.29/x
  3. Step 3: Cross multiply
    3,798.49x = 5,241.04 × 2,306.29
  4. Step 4: Simplify right side
    3,798.49x = 12,087,358.14
  5. Step 5: Solve for x
    x = 12,087,358.14/3,798.49
  6. Step 6: Final answer
    x = 3,182.15

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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.