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Finding the Fourth Proportional to 5,700.88, 8,552.22 and 2,414

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Solution

The fourth proportional to 5,700.88, 8,552.22 and 2,414 is: 3,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.88 : 8,552.22 = 2,414 : x
  2. Step 2: Convert to fraction form
    5,700.88/8,552.22 = 2,414/x
  3. Step 3: Cross multiply
    5,700.88x = 8,552.22 × 2,414
  4. Step 4: Simplify right side
    5,700.88x = 20,645,059.08
  5. Step 5: Solve for x
    x = 20,645,059.08/5,700.88
  6. Step 6: Final answer
    x = 3,621.38

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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.