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Finding the Fourth Proportional to 4,152.69, 6,231.20 and 1,689.33

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Solution

The fourth proportional to 4,152.69, 6,231.20 and 1,689.33 is: 2,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.69 : 6,231.20 = 1,689.33 : x
  2. Step 2: Convert to fraction form
    4,152.69/6,231.20 = 1,689.33/x
  3. Step 3: Cross multiply
    4,152.69x = 6,231.20 × 1,689.33
  4. Step 4: Simplify right side
    4,152.69x = 10,526,544.65
  5. Step 5: Solve for x
    x = 10,526,544.65/4,152.69
  6. Step 6: Final answer
    x = 2,534.87

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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.