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Finding the Fourth Proportional to 5,182.52, 7,151.85 and 2,824.67

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Solution

The fourth proportional to 5,182.52, 7,151.85 and 2,824.67 is: 3,898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.52 : 7,151.85 = 2,824.67 : x
  2. Step 2: Convert to fraction form
    5,182.52/7,151.85 = 2,824.67/x
  3. Step 3: Cross multiply
    5,182.52x = 7,151.85 × 2,824.67
  4. Step 4: Simplify right side
    5,182.52x = 20,201,580.38
  5. Step 5: Solve for x
    x = 20,201,580.38/5,182.52
  6. Step 6: Final answer
    x = 3,898.03

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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.