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Finding the Fourth Proportional to 3,474.92, 4,795.36 and 1,881.57

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Solution

The fourth proportional to 3,474.92, 4,795.36 and 1,881.57 is: 2,596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.92 : 4,795.36 = 1,881.57 : x
  2. Step 2: Convert to fraction form
    3,474.92/4,795.36 = 1,881.57/x
  3. Step 3: Cross multiply
    3,474.92x = 4,795.36 × 1,881.57
  4. Step 4: Simplify right side
    3,474.92x = 9,022,805.52
  5. Step 5: Solve for x
    x = 9,022,805.52/3,474.92
  6. Step 6: Final answer
    x = 2,596.55

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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.