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Finding the Fourth Proportional to 3,456.69, 5,184.72 and 1,812.75

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Solution

The fourth proportional to 3,456.69, 5,184.72 and 1,812.75 is: 2,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.69 : 5,184.72 = 1,812.75 : x
  2. Step 2: Convert to fraction form
    3,456.69/5,184.72 = 1,812.75/x
  3. Step 3: Cross multiply
    3,456.69x = 5,184.72 × 1,812.75
  4. Step 4: Simplify right side
    3,456.69x = 9,398,601.18
  5. Step 5: Solve for x
    x = 9,398,601.18/3,456.69
  6. Step 6: Final answer
    x = 2,718.96

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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.