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Finding the Fourth Proportional to 3,969.44, 5,957.84 and 2,023.10

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Solution

The fourth proportional to 3,969.44, 5,957.84 and 2,023.10 is: 3,036.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.44 : 5,957.84 = 2,023.10 : x
  2. Step 2: Convert to fraction form
    3,969.44/5,957.84 = 2,023.10/x
  3. Step 3: Cross multiply
    3,969.44x = 5,957.84 × 2,023.10
  4. Step 4: Simplify right side
    3,969.44x = 12,053,306.10
  5. Step 5: Solve for x
    x = 12,053,306.10/3,969.44
  6. Step 6: Final answer
    x = 3,036.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.