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Finding the Fourth Proportional to 6,085.44, 8,397.70 and 3,396.74

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Solution

The fourth proportional to 6,085.44, 8,397.70 and 3,396.74 is: 4,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.44 : 8,397.70 = 3,396.74 : x
  2. Step 2: Convert to fraction form
    6,085.44/8,397.70 = 3,396.74/x
  3. Step 3: Cross multiply
    6,085.44x = 8,397.70 × 3,396.74
  4. Step 4: Simplify right side
    6,085.44x = 28,524,753.02
  5. Step 5: Solve for x
    x = 28,524,753.02/6,085.44
  6. Step 6: Final answer
    x = 4,687.38

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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.