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Finding the Fourth Proportional to 3,496.57, 5,242.31 and 1,646.65

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Solution

The fourth proportional to 3,496.57, 5,242.31 and 1,646.65 is: 2,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.57 : 5,242.31 = 1,646.65 : x
  2. Step 2: Convert to fraction form
    3,496.57/5,242.31 = 1,646.65/x
  3. Step 3: Cross multiply
    3,496.57x = 5,242.31 × 1,646.65
  4. Step 4: Simplify right side
    3,496.57x = 8,632,249.76
  5. Step 5: Solve for x
    x = 8,632,249.76/3,496.57
  6. Step 6: Final answer
    x = 2,468.78

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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.