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Finding the Fourth Proportional to 5,182, 7,151.16 and 2,824.20

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Solution

The fourth proportional to 5,182, 7,151.16 and 2,824.20 is: 3,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182 : 7,151.16 = 2,824.20 : x
  2. Step 2: Convert to fraction form
    5,182/7,151.16 = 2,824.20/x
  3. Step 3: Cross multiply
    5,182x = 7,151.16 × 2,824.20
  4. Step 4: Simplify right side
    5,182x = 20,196,306.07
  5. Step 5: Solve for x
    x = 20,196,306.07/5,182
  6. Step 6: Final answer
    x = 3,897.40

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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.