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Finding the Fourth Proportional to 3,902.74, 5,825.81 and 3,613.69

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Solution

The fourth proportional to 3,902.74, 5,825.81 and 3,613.69 is: 5,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.74 : 5,825.81 = 3,613.69 : x
  2. Step 2: Convert to fraction form
    3,902.74/5,825.81 = 3,613.69/x
  3. Step 3: Cross multiply
    3,902.74x = 5,825.81 × 3,613.69
  4. Step 4: Simplify right side
    3,902.74x = 21,052,671.34
  5. Step 5: Solve for x
    x = 21,052,671.34/3,902.74
  6. Step 6: Final answer
    x = 5,394.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.