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Finding the Fourth Proportional to 5,661.78, 7,813.71 and 3,144.15

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Solution

The fourth proportional to 5,661.78, 7,813.71 and 3,144.15 is: 4,339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.78 : 7,813.71 = 3,144.15 : x
  2. Step 2: Convert to fraction form
    5,661.78/7,813.71 = 3,144.15/x
  3. Step 3: Cross multiply
    5,661.78x = 7,813.71 × 3,144.15
  4. Step 4: Simplify right side
    5,661.78x = 24,567,476.30
  5. Step 5: Solve for x
    x = 24,567,476.30/5,661.78
  6. Step 6: Final answer
    x = 4,339.18

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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.