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Finding the Fourth Proportional to 3,793, 5,235.78 and 2,551.72

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Solution

The fourth proportional to 3,793, 5,235.78 and 2,551.72 is: 3,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793 : 5,235.78 = 2,551.72 : x
  2. Step 2: Convert to fraction form
    3,793/5,235.78 = 2,551.72/x
  3. Step 3: Cross multiply
    3,793x = 5,235.78 × 2,551.72
  4. Step 4: Simplify right side
    3,793x = 13,360,244.54
  5. Step 5: Solve for x
    x = 13,360,244.54/3,793
  6. Step 6: Final answer
    x = 3,522.34

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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.