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Finding the Fourth Proportional to 5,704.84, 7,867.02 and 3,711.16

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Solution

The fourth proportional to 5,704.84, 7,867.02 and 3,711.16 is: 5,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.84 : 7,867.02 = 3,711.16 : x
  2. Step 2: Convert to fraction form
    5,704.84/7,867.02 = 3,711.16/x
  3. Step 3: Cross multiply
    5,704.84x = 7,867.02 × 3,711.16
  4. Step 4: Simplify right side
    5,704.84x = 29,195,769.94
  5. Step 5: Solve for x
    x = 29,195,769.94/5,704.84
  6. Step 6: Final answer
    x = 5,117.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.