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Finding the Fourth Proportional to 3,406.62, 4,703.31 and 2,659.26

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Solution

The fourth proportional to 3,406.62, 4,703.31 and 2,659.26 is: 3,671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.62 : 4,703.31 = 2,659.26 : x
  2. Step 2: Convert to fraction form
    3,406.62/4,703.31 = 2,659.26/x
  3. Step 3: Cross multiply
    3,406.62x = 4,703.31 × 2,659.26
  4. Step 4: Simplify right side
    3,406.62x = 12,507,324.15
  5. Step 5: Solve for x
    x = 12,507,324.15/3,406.62
  6. Step 6: Final answer
    x = 3,671.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.