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Finding the Fourth Proportional to 6,074.72, 8,383 and 3,422.40

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Solution

The fourth proportional to 6,074.72, 8,383 and 3,422.40 is: 4,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.72 : 8,383 = 3,422.40 : x
  2. Step 2: Convert to fraction form
    6,074.72/8,383 = 3,422.40/x
  3. Step 3: Cross multiply
    6,074.72x = 8,383 × 3,422.40
  4. Step 4: Simplify right side
    6,074.72x = 28,689,979.20
  5. Step 5: Solve for x
    x = 28,689,979.20/6,074.72
  6. Step 6: Final answer
    x = 4,722.85

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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.