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Finding the Fourth Proportional to 3,617.74, 5,424.18 and 1,769.32

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Solution

The fourth proportional to 3,617.74, 5,424.18 and 1,769.32 is: 2,652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.74 : 5,424.18 = 1,769.32 : x
  2. Step 2: Convert to fraction form
    3,617.74/5,424.18 = 1,769.32/x
  3. Step 3: Cross multiply
    3,617.74x = 5,424.18 × 1,769.32
  4. Step 4: Simplify right side
    3,617.74x = 9,597,110.16
  5. Step 5: Solve for x
    x = 9,597,110.16/3,617.74
  6. Step 6: Final answer
    x = 2,652.79

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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.