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Finding the Fourth Proportional to 6,579.36, 9,871.05 and 3,949.80

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Solution

The fourth proportional to 6,579.36, 9,871.05 and 3,949.80 is: 5,925.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.36 : 9,871.05 = 3,949.80 : x
  2. Step 2: Convert to fraction form
    6,579.36/9,871.05 = 3,949.80/x
  3. Step 3: Cross multiply
    6,579.36x = 9,871.05 × 3,949.80
  4. Step 4: Simplify right side
    6,579.36x = 38,988,673.29
  5. Step 5: Solve for x
    x = 38,988,673.29/6,579.36
  6. Step 6: Final answer
    x = 5,925.91

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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.