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Finding the Fourth Proportional to 3,272.65, 4,911.57 and 1,713.13

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Solution

The fourth proportional to 3,272.65, 4,911.57 and 1,713.13 is: 2,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.65 : 4,911.57 = 1,713.13 : x
  2. Step 2: Convert to fraction form
    3,272.65/4,911.57 = 1,713.13/x
  3. Step 3: Cross multiply
    3,272.65x = 4,911.57 × 1,713.13
  4. Step 4: Simplify right side
    3,272.65x = 8,414,145.64
  5. Step 5: Solve for x
    x = 8,414,145.64/3,272.65
  6. Step 6: Final answer
    x = 2,571.05

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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.