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Finding the Fourth Proportional to 3,549.78, 5,289.18 and 3,161.78

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Solution

The fourth proportional to 3,549.78, 5,289.18 and 3,161.78 is: 4,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.78 : 5,289.18 = 3,161.78 : x
  2. Step 2: Convert to fraction form
    3,549.78/5,289.18 = 3,161.78/x
  3. Step 3: Cross multiply
    3,549.78x = 5,289.18 × 3,161.78
  4. Step 4: Simplify right side
    3,549.78x = 16,723,223.54
  5. Step 5: Solve for x
    x = 16,723,223.54/3,549.78
  6. Step 6: Final answer
    x = 4,711.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.