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Finding the Fourth Proportional to 3,798.26, 5,242.05 and 2,306.42

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Solution

The fourth proportional to 3,798.26, 5,242.05 and 2,306.42 is: 3,183.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.26 : 5,242.05 = 2,306.42 : x
  2. Step 2: Convert to fraction form
    3,798.26/5,242.05 = 2,306.42/x
  3. Step 3: Cross multiply
    3,798.26x = 5,242.05 × 2,306.42
  4. Step 4: Simplify right side
    3,798.26x = 12,090,368.96
  5. Step 5: Solve for x
    x = 12,090,368.96/3,798.26
  6. Step 6: Final answer
    x = 3,183.13

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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.