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Finding the Fourth Proportional to 3,608.16, 5,411.52 and 1,659.36

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Solution

The fourth proportional to 3,608.16, 5,411.52 and 1,659.36 is: 2,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.16 : 5,411.52 = 1,659.36 : x
  2. Step 2: Convert to fraction form
    3,608.16/5,411.52 = 1,659.36/x
  3. Step 3: Cross multiply
    3,608.16x = 5,411.52 × 1,659.36
  4. Step 4: Simplify right side
    3,608.16x = 8,979,659.83
  5. Step 5: Solve for x
    x = 8,979,659.83/3,608.16
  6. Step 6: Final answer
    x = 2,488.71

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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.