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Finding the Fourth Proportional to 3,678.26, 5,061.17 and 3,590.78

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Solution

The fourth proportional to 3,678.26, 5,061.17 and 3,590.78 is: 4,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.26 : 5,061.17 = 3,590.78 : x
  2. Step 2: Convert to fraction form
    3,678.26/5,061.17 = 3,590.78/x
  3. Step 3: Cross multiply
    3,678.26x = 5,061.17 × 3,590.78
  4. Step 4: Simplify right side
    3,678.26x = 18,173,531.68
  5. Step 5: Solve for x
    x = 18,173,531.68/3,678.26
  6. Step 6: Final answer
    x = 4,940.80

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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.