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Finding the Fourth Proportional to 5,723.75, 8,574.68 and 3,871.68

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Solution

The fourth proportional to 5,723.75, 8,574.68 and 3,871.68 is: 5,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.75 : 8,574.68 = 3,871.68 : x
  2. Step 2: Convert to fraction form
    5,723.75/8,574.68 = 3,871.68/x
  3. Step 3: Cross multiply
    5,723.75x = 8,574.68 × 3,871.68
  4. Step 4: Simplify right side
    5,723.75x = 33,198,397.70
  5. Step 5: Solve for x
    x = 33,198,397.70/5,723.75
  6. Step 6: Final answer
    x = 5,800.12

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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.