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Finding the Fourth Proportional to 6,588.79, 9,882.05 and 3,079.11

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Solution

The fourth proportional to 6,588.79, 9,882.05 and 3,079.11 is: 4,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.79 : 9,882.05 = 3,079.11 : x
  2. Step 2: Convert to fraction form
    6,588.79/9,882.05 = 3,079.11/x
  3. Step 3: Cross multiply
    6,588.79x = 9,882.05 × 3,079.11
  4. Step 4: Simplify right side
    6,588.79x = 30,427,957.96
  5. Step 5: Solve for x
    x = 30,427,957.96/6,588.79
  6. Step 6: Final answer
    x = 4,618.14

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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.