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Finding the Fourth Proportional to 5,182.43, 7,151.71 and 2,824.52

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Solution

The fourth proportional to 5,182.43, 7,151.71 and 2,824.52 is: 3,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.43 : 7,151.71 = 2,824.52 : x
  2. Step 2: Convert to fraction form
    5,182.43/7,151.71 = 2,824.52/x
  3. Step 3: Cross multiply
    5,182.43x = 7,151.71 × 2,824.52
  4. Step 4: Simplify right side
    5,182.43x = 20,200,133.81
  5. Step 5: Solve for x
    x = 20,200,133.81/5,182.43
  6. Step 6: Final answer
    x = 3,897.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.