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Finding the Fourth Proportional to 5,747.88, 7,931.10 and 3,389.70

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Solution

The fourth proportional to 5,747.88, 7,931.10 and 3,389.70 is: 4,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.88 : 7,931.10 = 3,389.70 : x
  2. Step 2: Convert to fraction form
    5,747.88/7,931.10 = 3,389.70/x
  3. Step 3: Cross multiply
    5,747.88x = 7,931.10 × 3,389.70
  4. Step 4: Simplify right side
    5,747.88x = 26,884,049.67
  5. Step 5: Solve for x
    x = 26,884,049.67/5,747.88
  6. Step 6: Final answer
    x = 4,677.21

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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.