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Finding the Fourth Proportional to 3,763.67, 5,191.26 and 2,582.69

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Solution

The fourth proportional to 3,763.67, 5,191.26 and 2,582.69 is: 3,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.67 : 5,191.26 = 2,582.69 : x
  2. Step 2: Convert to fraction form
    3,763.67/5,191.26 = 2,582.69/x
  3. Step 3: Cross multiply
    3,763.67x = 5,191.26 × 2,582.69
  4. Step 4: Simplify right side
    3,763.67x = 13,407,379.65
  5. Step 5: Solve for x
    x = 13,407,379.65/3,763.67
  6. Step 6: Final answer
    x = 3,562.32

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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.