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Finding the Fourth Proportional to 3,798.45, 5,241.96 and 2,306.16

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Solution

The fourth proportional to 3,798.45, 5,241.96 and 2,306.16 is: 3,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.45 : 5,241.96 = 2,306.16 : x
  2. Step 2: Convert to fraction form
    3,798.45/5,241.96 = 2,306.16/x
  3. Step 3: Cross multiply
    3,798.45x = 5,241.96 × 2,306.16
  4. Step 4: Simplify right side
    3,798.45x = 12,088,798.47
  5. Step 5: Solve for x
    x = 12,088,798.47/3,798.45
  6. Step 6: Final answer
    x = 3,182.56

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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.