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Finding the Fourth Proportional to 3,546.52, 5,317.17 and 1,790.65

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Solution

The fourth proportional to 3,546.52, 5,317.17 and 1,790.65 is: 2,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.52 : 5,317.17 = 1,790.65 : x
  2. Step 2: Convert to fraction form
    3,546.52/5,317.17 = 1,790.65/x
  3. Step 3: Cross multiply
    3,546.52x = 5,317.17 × 1,790.65
  4. Step 4: Simplify right side
    3,546.52x = 9,521,190.46
  5. Step 5: Solve for x
    x = 9,521,190.46/3,546.52
  6. Step 6: Final answer
    x = 2,684.66

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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.