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Finding the Fourth Proportional to 5,781.33, 7,978.95 and 3,544.71

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Solution

The fourth proportional to 5,781.33, 7,978.95 and 3,544.71 is: 4,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.33 : 7,978.95 = 3,544.71 : x
  2. Step 2: Convert to fraction form
    5,781.33/7,978.95 = 3,544.71/x
  3. Step 3: Cross multiply
    5,781.33x = 7,978.95 × 3,544.71
  4. Step 4: Simplify right side
    5,781.33x = 28,283,063.85
  5. Step 5: Solve for x
    x = 28,283,063.85/5,781.33
  6. Step 6: Final answer
    x = 4,892.14

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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.