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Finding the Fourth Proportional to 5,713.85, 8,566.22 and 3,751.70

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Solution

The fourth proportional to 5,713.85, 8,566.22 and 3,751.70 is: 5,624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.85 : 8,566.22 = 3,751.70 : x
  2. Step 2: Convert to fraction form
    5,713.85/8,566.22 = 3,751.70/x
  3. Step 3: Cross multiply
    5,713.85x = 8,566.22 × 3,751.70
  4. Step 4: Simplify right side
    5,713.85x = 32,137,825.98
  5. Step 5: Solve for x
    x = 32,137,825.98/5,713.85
  6. Step 6: Final answer
    x = 5,624.55

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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.