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Finding the Fourth Proportional to 3,522.89, 5,284.38 and 1,332.65

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Solution

The fourth proportional to 3,522.89, 5,284.38 and 1,332.65 is: 1,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.89 : 5,284.38 = 1,332.65 : x
  2. Step 2: Convert to fraction form
    3,522.89/5,284.38 = 1,332.65/x
  3. Step 3: Cross multiply
    3,522.89x = 5,284.38 × 1,332.65
  4. Step 4: Simplify right side
    3,522.89x = 7,042,229.01
  5. Step 5: Solve for x
    x = 7,042,229.01/3,522.89
  6. Step 6: Final answer
    x = 1,998.99

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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.