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Finding the Fourth Proportional to 5,747.90, 7,934.08 and 3,389.90

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Solution

The fourth proportional to 5,747.90, 7,934.08 and 3,389.90 is: 4,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.90 : 7,934.08 = 3,389.90 : x
  2. Step 2: Convert to fraction form
    5,747.90/7,934.08 = 3,389.90/x
  3. Step 3: Cross multiply
    5,747.90x = 7,934.08 × 3,389.90
  4. Step 4: Simplify right side
    5,747.90x = 26,895,737.79
  5. Step 5: Solve for x
    x = 26,895,737.79/5,747.90
  6. Step 6: Final answer
    x = 4,679.23

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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.