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Finding the Fourth Proportional to 5,182.33, 7,151.62 and 2,824.47

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Solution

The fourth proportional to 5,182.33, 7,151.62 and 2,824.47 is: 3,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.33 : 7,151.62 = 2,824.47 : x
  2. Step 2: Convert to fraction form
    5,182.33/7,151.62 = 2,824.47/x
  3. Step 3: Cross multiply
    5,182.33x = 7,151.62 × 2,824.47
  4. Step 4: Simplify right side
    5,182.33x = 20,199,536.14
  5. Step 5: Solve for x
    x = 20,199,536.14/5,182.33
  6. Step 6: Final answer
    x = 3,897.77

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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.