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Finding the Fourth Proportional to 5,747.10, 7,932.03 and 3,389.10

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Solution

The fourth proportional to 5,747.10, 7,932.03 and 3,389.10 is: 4,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.10 : 7,932.03 = 3,389.10 : x
  2. Step 2: Convert to fraction form
    5,747.10/7,932.03 = 3,389.10/x
  3. Step 3: Cross multiply
    5,747.10x = 7,932.03 × 3,389.10
  4. Step 4: Simplify right side
    5,747.10x = 26,882,442.87
  5. Step 5: Solve for x
    x = 26,882,442.87/5,747.10
  6. Step 6: Final answer
    x = 4,677.57

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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.