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Finding the Fourth Proportional to 3,616.22, 4,989.92 and 2,023.00

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Solution

The fourth proportional to 3,616.22, 4,989.92 and 2,023.00 is: 2,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.22 : 4,989.92 = 2,023.00 : x
  2. Step 2: Convert to fraction form
    3,616.22/4,989.92 = 2,023.00/x
  3. Step 3: Cross multiply
    3,616.22x = 4,989.92 × 2,023.00
  4. Step 4: Simplify right side
    3,616.22x = 10,094,585.57
  5. Step 5: Solve for x
    x = 10,094,585.57/3,616.22
  6. Step 6: Final answer
    x = 2,791.47

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Why These Related Problems?

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