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Finding the Fourth Proportional to 5,215.26, 7,197.12 and 2,857.50

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Solution

The fourth proportional to 5,215.26, 7,197.12 and 2,857.50 is: 3,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.26 : 7,197.12 = 2,857.50 : x
  2. Step 2: Convert to fraction form
    5,215.26/7,197.12 = 2,857.50/x
  3. Step 3: Cross multiply
    5,215.26x = 7,197.12 × 2,857.50
  4. Step 4: Simplify right side
    5,215.26x = 20,565,770.40
  5. Step 5: Solve for x
    x = 20,565,770.40/5,215.26
  6. Step 6: Final answer
    x = 3,943.38

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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.