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Finding the Fourth Proportional to 4,023.52, 5,546.64 and 2,824.86

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Solution

The fourth proportional to 4,023.52, 5,546.64 and 2,824.86 is: 3,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023.52 : 5,546.64 = 2,824.86 : x
  2. Step 2: Convert to fraction form
    4,023.52/5,546.64 = 2,824.86/x
  3. Step 3: Cross multiply
    4,023.52x = 5,546.64 × 2,824.86
  4. Step 4: Simplify right side
    4,023.52x = 15,668,481.47
  5. Step 5: Solve for x
    x = 15,668,481.47/4,023.52
  6. Step 6: Final answer
    x = 3,894.22

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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.