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Finding the Fourth Proportional to 3,711.75, 5,562.71 and 3,096.66

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Solution

The fourth proportional to 3,711.75, 5,562.71 and 3,096.66 is: 4,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.75 : 5,562.71 = 3,096.66 : x
  2. Step 2: Convert to fraction form
    3,711.75/5,562.71 = 3,096.66/x
  3. Step 3: Cross multiply
    3,711.75x = 5,562.71 × 3,096.66
  4. Step 4: Simplify right side
    3,711.75x = 17,225,806.07
  5. Step 5: Solve for x
    x = 17,225,806.07/3,711.75
  6. Step 6: Final answer
    x = 4,640.89

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Why These Related Problems?

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