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Finding the Fourth Proportional to 6,586.85, 9,879.24 and 2,428.85

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Solution

The fourth proportional to 6,586.85, 9,879.24 and 2,428.85 is: 3,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.85 : 9,879.24 = 2,428.85 : x
  2. Step 2: Convert to fraction form
    6,586.85/9,879.24 = 2,428.85/x
  3. Step 3: Cross multiply
    6,586.85x = 9,879.24 × 2,428.85
  4. Step 4: Simplify right side
    6,586.85x = 23,995,192.07
  5. Step 5: Solve for x
    x = 23,995,192.07/6,586.85
  6. Step 6: Final answer
    x = 3,642.89

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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.