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Finding the Fourth Proportional to 5,227.52, 7,214.06 and 2,869.64

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Solution

The fourth proportional to 5,227.52, 7,214.06 and 2,869.64 is: 3,960.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.52 : 7,214.06 = 2,869.64 : x
  2. Step 2: Convert to fraction form
    5,227.52/7,214.06 = 2,869.64/x
  3. Step 3: Cross multiply
    5,227.52x = 7,214.06 × 2,869.64
  4. Step 4: Simplify right side
    5,227.52x = 20,701,755.14
  5. Step 5: Solve for x
    x = 20,701,755.14/5,227.52
  6. Step 6: Final answer
    x = 3,960.15

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1.5x scale

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.