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Finding the Fourth Proportional to 5,834.40, 8,753.04 and 2,138.64

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Solution

The fourth proportional to 5,834.40, 8,753.04 and 2,138.64 is: 3,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.40 : 8,753.04 = 2,138.64 : x
  2. Step 2: Convert to fraction form
    5,834.40/8,753.04 = 2,138.64/x
  3. Step 3: Cross multiply
    5,834.40x = 8,753.04 × 2,138.64
  4. Step 4: Simplify right side
    5,834.40x = 18,719,601.47
  5. Step 5: Solve for x
    x = 18,719,601.47/5,834.40
  6. Step 6: Final answer
    x = 3,208.49

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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.