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Finding the Fourth Proportional to 4,023.59, 5,546.73 and 2,824.92

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Solution

The fourth proportional to 4,023.59, 5,546.73 and 2,824.92 is: 3,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023.59 : 5,546.73 = 2,824.92 : x
  2. Step 2: Convert to fraction form
    4,023.59/5,546.73 = 2,824.92/x
  3. Step 3: Cross multiply
    4,023.59x = 5,546.73 × 2,824.92
  4. Step 4: Simplify right side
    4,023.59x = 15,669,054.39
  5. Step 5: Solve for x
    x = 15,669,054.39/4,023.59
  6. Step 6: Final answer
    x = 3,894.30

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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.