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Finding the Fourth Proportional to 3,793, 5,230.98 and 2,465.48

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Solution

The fourth proportional to 3,793, 5,230.98 and 2,465.48 is: 3,400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793 : 5,230.98 = 2,465.48 : x
  2. Step 2: Convert to fraction form
    3,793/5,230.98 = 2,465.48/x
  3. Step 3: Cross multiply
    3,793x = 5,230.98 × 2,465.48
  4. Step 4: Simplify right side
    3,793x = 12,896,876.57
  5. Step 5: Solve for x
    x = 12,896,876.57/3,793
  6. Step 6: Final answer
    x = 3,400.18

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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.