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Finding the Fourth Proportional to 6,096.88, 8,414.16 and 3,444.58

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Solution

The fourth proportional to 6,096.88, 8,414.16 and 3,444.58 is: 4,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.88 : 8,414.16 = 3,444.58 : x
  2. Step 2: Convert to fraction form
    6,096.88/8,414.16 = 3,444.58/x
  3. Step 3: Cross multiply
    6,096.88x = 8,414.16 × 3,444.58
  4. Step 4: Simplify right side
    6,096.88x = 28,983,247.25
  5. Step 5: Solve for x
    x = 28,983,247.25/6,096.88
  6. Step 6: Final answer
    x = 4,753.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.