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Finding the Fourth Proportional to 3,167.64, 4,749.66 and 2,650.86

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Solution

The fourth proportional to 3,167.64, 4,749.66 and 2,650.86 is: 3,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.64 : 4,749.66 = 2,650.86 : x
  2. Step 2: Convert to fraction form
    3,167.64/4,749.66 = 2,650.86/x
  3. Step 3: Cross multiply
    3,167.64x = 4,749.66 × 2,650.86
  4. Step 4: Simplify right side
    3,167.64x = 12,590,683.71
  5. Step 5: Solve for x
    x = 12,590,683.71/3,167.64
  6. Step 6: Final answer
    x = 3,974.78

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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.