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Finding the Fourth Proportional to 3,883.74, 5,826.92 and 1,693.90

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Solution

The fourth proportional to 3,883.74, 5,826.92 and 1,693.90 is: 2,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.74 : 5,826.92 = 1,693.90 : x
  2. Step 2: Convert to fraction form
    3,883.74/5,826.92 = 1,693.90/x
  3. Step 3: Cross multiply
    3,883.74x = 5,826.92 × 1,693.90
  4. Step 4: Simplify right side
    3,883.74x = 9,870,219.79
  5. Step 5: Solve for x
    x = 9,870,219.79/3,883.74
  6. Step 6: Final answer
    x = 2,541.42

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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.