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Finding the Fourth Proportional to 5,215.41, 7,197.19 and 2,857.55

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Solution

The fourth proportional to 5,215.41, 7,197.19 and 2,857.55 is: 3,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.41 : 7,197.19 = 2,857.55 : x
  2. Step 2: Convert to fraction form
    5,215.41/7,197.19 = 2,857.55/x
  3. Step 3: Cross multiply
    5,215.41x = 7,197.19 × 2,857.55
  4. Step 4: Simplify right side
    5,215.41x = 20,566,341.13
  5. Step 5: Solve for x
    x = 20,566,341.13/5,215.41
  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.