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Finding the Fourth Proportional to 5,739.57, 8,574.48 and 3,642.75

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Solution

The fourth proportional to 5,739.57, 8,574.48 and 3,642.75 is: 5,441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.57 : 8,574.48 = 3,642.75 : x
  2. Step 2: Convert to fraction form
    5,739.57/8,574.48 = 3,642.75/x
  3. Step 3: Cross multiply
    5,739.57x = 8,574.48 × 3,642.75
  4. Step 4: Simplify right side
    5,739.57x = 31,234,687.02
  5. Step 5: Solve for x
    x = 31,234,687.02/5,739.57
  6. Step 6: Final answer
    x = 5,441.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.