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Finding the Fourth Proportional to 5,275.57, 7,280 and 3,151.15

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Solution

The fourth proportional to 5,275.57, 7,280 and 3,151.15 is: 4,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.57 : 7,280 = 3,151.15 : x
  2. Step 2: Convert to fraction form
    5,275.57/7,280 = 3,151.15/x
  3. Step 3: Cross multiply
    5,275.57x = 7,280 × 3,151.15
  4. Step 4: Simplify right side
    5,275.57x = 22,940,372
  5. Step 5: Solve for x
    x = 22,940,372/5,275.57
  6. Step 6: Final answer
    x = 4,348.42

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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.