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Finding the Fourth Proportional to 6,143.77, 8,478.40 and 3,349.27

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Solution

The fourth proportional to 6,143.77, 8,478.40 and 3,349.27 is: 4,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.77 : 8,478.40 = 3,349.27 : x
  2. Step 2: Convert to fraction form
    6,143.77/8,478.40 = 3,349.27/x
  3. Step 3: Cross multiply
    6,143.77x = 8,478.40 × 3,349.27
  4. Step 4: Simplify right side
    6,143.77x = 28,396,408.38
  5. Step 5: Solve for x
    x = 28,396,408.38/6,143.77
  6. Step 6: Final answer
    x = 4,621.99

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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.