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Finding the Fourth Proportional to 4,315.92, 6,472.91 and 1,683.50

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Solution

The fourth proportional to 4,315.92, 6,472.91 and 1,683.50 is: 2,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.92 : 6,472.91 = 1,683.50 : x
  2. Step 2: Convert to fraction form
    4,315.92/6,472.91 = 1,683.50/x
  3. Step 3: Cross multiply
    4,315.92x = 6,472.91 × 1,683.50
  4. Step 4: Simplify right side
    4,315.92x = 10,897,103.20
  5. Step 5: Solve for x
    x = 10,897,103.20/4,315.92
  6. Step 6: Final answer
    x = 2,524.86

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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.