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Finding the Fourth Proportional to 3,133.87, 4,321.75 and 1,874.72

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Solution

The fourth proportional to 3,133.87, 4,321.75 and 1,874.72 is: 2,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.87 : 4,321.75 = 1,874.72 : x
  2. Step 2: Convert to fraction form
    3,133.87/4,321.75 = 1,874.72/x
  3. Step 3: Cross multiply
    3,133.87x = 4,321.75 × 1,874.72
  4. Step 4: Simplify right side
    3,133.87x = 8,102,049.55
  5. Step 5: Solve for x
    x = 8,102,049.55/3,133.87
  6. Step 6: Final answer
    x = 2,585.32

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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.