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Finding the Fourth Proportional to 5,661.91, 7,813.68 and 3,144.02

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Solution

The fourth proportional to 5,661.91, 7,813.68 and 3,144.02 is: 4,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.91 : 7,813.68 = 3,144.02 : x
  2. Step 2: Convert to fraction form
    5,661.91/7,813.68 = 3,144.02/x
  3. Step 3: Cross multiply
    5,661.91x = 7,813.68 × 3,144.02
  4. Step 4: Simplify right side
    5,661.91x = 24,566,389.10
  5. Step 5: Solve for x
    x = 24,566,389.10/5,661.91
  6. Step 6: Final answer
    x = 4,338.89

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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.