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Finding the Fourth Proportional to 3,778.52, 5,659.78 and 2,391.16

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Solution

The fourth proportional to 3,778.52, 5,659.78 and 2,391.16 is: 3,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.52 : 5,659.78 = 2,391.16 : x
  2. Step 2: Convert to fraction form
    3,778.52/5,659.78 = 2,391.16/x
  3. Step 3: Cross multiply
    3,778.52x = 5,659.78 × 2,391.16
  4. Step 4: Simplify right side
    3,778.52x = 13,533,439.54
  5. Step 5: Solve for x
    x = 13,533,439.54/3,778.52
  6. Step 6: Final answer
    x = 3,581.68

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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.