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Finding the Fourth Proportional to 6,218, 8,580.84 and 3,734

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Solution

The fourth proportional to 6,218, 8,580.84 and 3,734 is: 5,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218 : 8,580.84 = 3,734 : x
  2. Step 2: Convert to fraction form
    6,218/8,580.84 = 3,734/x
  3. Step 3: Cross multiply
    6,218x = 8,580.84 × 3,734
  4. Step 4: Simplify right side
    6,218x = 32,040,856.56
  5. Step 5: Solve for x
    x = 32,040,856.56/6,218
  6. Step 6: Final answer
    x = 5,152.92

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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.