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Finding the Fourth Proportional to 3,778.76, 5,658.70 and 2,387.96

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Solution

The fourth proportional to 3,778.76, 5,658.70 and 2,387.96 is: 3,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.76 : 5,658.70 = 2,387.96 : x
  2. Step 2: Convert to fraction form
    3,778.76/5,658.70 = 2,387.96/x
  3. Step 3: Cross multiply
    3,778.76x = 5,658.70 × 2,387.96
  4. Step 4: Simplify right side
    3,778.76x = 13,512,749.25
  5. Step 5: Solve for x
    x = 13,512,749.25/3,778.76
  6. Step 6: Final answer
    x = 3,575.97

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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.