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Finding the Fourth Proportional to 3,484.59, 5,222.56 and 1,727.70

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Solution

The fourth proportional to 3,484.59, 5,222.56 and 1,727.70 is: 2,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.59 : 5,222.56 = 1,727.70 : x
  2. Step 2: Convert to fraction form
    3,484.59/5,222.56 = 1,727.70/x
  3. Step 3: Cross multiply
    3,484.59x = 5,222.56 × 1,727.70
  4. Step 4: Simplify right side
    3,484.59x = 9,023,016.91
  5. Step 5: Solve for x
    x = 9,023,016.91/3,484.59
  6. Step 6: Final answer
    x = 2,589.41

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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.