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Finding the Fourth Proportional to 3,617.67, 5,427.24 and 1,152.42

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Solution

The fourth proportional to 3,617.67, 5,427.24 and 1,152.42 is: 1,728.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.67 : 5,427.24 = 1,152.42 : x
  2. Step 2: Convert to fraction form
    3,617.67/5,427.24 = 1,152.42/x
  3. Step 3: Cross multiply
    3,617.67x = 5,427.24 × 1,152.42
  4. Step 4: Simplify right side
    3,617.67x = 6,254,459.92
  5. Step 5: Solve for x
    x = 6,254,459.92/3,617.67
  6. Step 6: Final answer
    x = 1,728.86

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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.