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Finding the Fourth Proportional to 6,582.56, 9,083.91 and 3,749.78

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Solution

The fourth proportional to 6,582.56, 9,083.91 and 3,749.78 is: 5,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.56 : 9,083.91 = 3,749.78 : x
  2. Step 2: Convert to fraction form
    6,582.56/9,083.91 = 3,749.78/x
  3. Step 3: Cross multiply
    6,582.56x = 9,083.91 × 3,749.78
  4. Step 4: Simplify right side
    6,582.56x = 34,062,618.62
  5. Step 5: Solve for x
    x = 34,062,618.62/6,582.56
  6. Step 6: Final answer
    x = 5,174.68

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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.