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Finding the Fourth Proportional to 3,546.71, 5,311.86 and 3,423.69

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Solution

The fourth proportional to 3,546.71, 5,311.86 and 3,423.69 is: 5,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.71 : 5,311.86 = 3,423.69 : x
  2. Step 2: Convert to fraction form
    3,546.71/5,311.86 = 3,423.69/x
  3. Step 3: Cross multiply
    3,546.71x = 5,311.86 × 3,423.69
  4. Step 4: Simplify right side
    3,546.71x = 18,186,131.57
  5. Step 5: Solve for x
    x = 18,186,131.57/3,546.71
  6. Step 6: Final answer
    x = 5,127.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.