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Finding the Fourth Proportional to 4,275.57, 5,897.12 and 3,213.38

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Solution

The fourth proportional to 4,275.57, 5,897.12 and 3,213.38 is: 4,432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.57 : 5,897.12 = 3,213.38 : x
  2. Step 2: Convert to fraction form
    4,275.57/5,897.12 = 3,213.38/x
  3. Step 3: Cross multiply
    4,275.57x = 5,897.12 × 3,213.38
  4. Step 4: Simplify right side
    4,275.57x = 18,949,687.47
  5. Step 5: Solve for x
    x = 18,949,687.47/4,275.57
  6. Step 6: Final answer
    x = 4,432.08

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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.