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Finding the Fourth Proportional to 5,760.74, 8,633.01 and 3,291.86

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Solution

The fourth proportional to 5,760.74, 8,633.01 and 3,291.86 is: 4,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.74 : 8,633.01 = 3,291.86 : x
  2. Step 2: Convert to fraction form
    5,760.74/8,633.01 = 3,291.86/x
  3. Step 3: Cross multiply
    5,760.74x = 8,633.01 × 3,291.86
  4. Step 4: Simplify right side
    5,760.74x = 28,418,660.30
  5. Step 5: Solve for x
    x = 28,418,660.30/5,760.74
  6. Step 6: Final answer
    x = 4,933.16

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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.