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Finding the Fourth Proportional to 3,532.76, 5,293.38 and 1,799

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Solution

The fourth proportional to 3,532.76, 5,293.38 and 1,799 is: 2,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.76 : 5,293.38 = 1,799 : x
  2. Step 2: Convert to fraction form
    3,532.76/5,293.38 = 1,799/x
  3. Step 3: Cross multiply
    3,532.76x = 5,293.38 × 1,799
  4. Step 4: Simplify right side
    3,532.76x = 9,522,790.62
  5. Step 5: Solve for x
    x = 9,522,790.62/3,532.76
  6. Step 6: Final answer
    x = 2,695.57

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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.