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Finding the Fourth Proportional to 3,607.10, 5,411.31 and 1,659.25

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Solution

The fourth proportional to 3,607.10, 5,411.31 and 1,659.25 is: 2,489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.10 : 5,411.31 = 1,659.25 : x
  2. Step 2: Convert to fraction form
    3,607.10/5,411.31 = 1,659.25/x
  3. Step 3: Cross multiply
    3,607.10x = 5,411.31 × 1,659.25
  4. Step 4: Simplify right side
    3,607.10x = 8,978,707.82
  5. Step 5: Solve for x
    x = 8,978,707.82/3,607.10
  6. Step 6: Final answer
    x = 2,489.18

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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.