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Finding the Fourth Proportional to 5,328.92, 7,343.52 and 3,834.20

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Solution

The fourth proportional to 5,328.92, 7,343.52 and 3,834.20 is: 5,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.92 : 7,343.52 = 3,834.20 : x
  2. Step 2: Convert to fraction form
    5,328.92/7,343.52 = 3,834.20/x
  3. Step 3: Cross multiply
    5,328.92x = 7,343.52 × 3,834.20
  4. Step 4: Simplify right side
    5,328.92x = 28,156,524.38
  5. Step 5: Solve for x
    x = 28,156,524.38/5,328.92
  6. Step 6: Final answer
    x = 5,283.72

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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.