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Finding the Fourth Proportional to 6,579.84, 9,872.04 and 4,049.76

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Solution

The fourth proportional to 6,579.84, 9,872.04 and 4,049.76 is: 6,076.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.84 : 9,872.04 = 4,049.76 : x
  2. Step 2: Convert to fraction form
    6,579.84/9,872.04 = 4,049.76/x
  3. Step 3: Cross multiply
    6,579.84x = 9,872.04 × 4,049.76
  4. Step 4: Simplify right side
    6,579.84x = 39,979,392.71
  5. Step 5: Solve for x
    x = 39,979,392.71/6,579.84
  6. Step 6: Final answer
    x = 6,076.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.