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Finding the Fourth Proportional to 3,659.67, 5,490.36 and 1,062.54

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Solution

The fourth proportional to 3,659.67, 5,490.36 and 1,062.54 is: 1,594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.67 : 5,490.36 = 1,062.54 : x
  2. Step 2: Convert to fraction form
    3,659.67/5,490.36 = 1,062.54/x
  3. Step 3: Cross multiply
    3,659.67x = 5,490.36 × 1,062.54
  4. Step 4: Simplify right side
    3,659.67x = 5,833,727.11
  5. Step 5: Solve for x
    x = 5,833,727.11/3,659.67
  6. Step 6: Final answer
    x = 1,594.06

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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.