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Finding the Fourth Proportional to 5,182.07, 7,151.05 and 2,824.19

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Solution

The fourth proportional to 5,182.07, 7,151.05 and 2,824.19 is: 3,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.07 : 7,151.05 = 2,824.19 : x
  2. Step 2: Convert to fraction form
    5,182.07/7,151.05 = 2,824.19/x
  3. Step 3: Cross multiply
    5,182.07x = 7,151.05 × 2,824.19
  4. Step 4: Simplify right side
    5,182.07x = 20,195,923.90
  5. Step 5: Solve for x
    x = 20,195,923.90/5,182.07
  6. Step 6: Final answer
    x = 3,897.27

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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.