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Finding the Fourth Proportional to 5,713.26, 8,570.02 and 2,250.50

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Solution

The fourth proportional to 5,713.26, 8,570.02 and 2,250.50 is: 3,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.26 : 8,570.02 = 2,250.50 : x
  2. Step 2: Convert to fraction form
    5,713.26/8,570.02 = 2,250.50/x
  3. Step 3: Cross multiply
    5,713.26x = 8,570.02 × 2,250.50
  4. Step 4: Simplify right side
    5,713.26x = 19,286,830.01
  5. Step 5: Solve for x
    x = 19,286,830.01/5,713.26
  6. Step 6: Final answer
    x = 3,375.80

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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.