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Finding the Fourth Proportional to 3,832.65, 5,289.30 and 2,509.92

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Solution

The fourth proportional to 3,832.65, 5,289.30 and 2,509.92 is: 3,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.65 : 5,289.30 = 2,509.92 : x
  2. Step 2: Convert to fraction form
    3,832.65/5,289.30 = 2,509.92/x
  3. Step 3: Cross multiply
    3,832.65x = 5,289.30 × 2,509.92
  4. Step 4: Simplify right side
    3,832.65x = 13,275,719.86
  5. Step 5: Solve for x
    x = 13,275,719.86/3,832.65
  6. Step 6: Final answer
    x = 3,463.85

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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.