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Finding the Fourth Proportional to 3,474.96, 5,218.32 and 3,448.08

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Solution

The fourth proportional to 3,474.96, 5,218.32 and 3,448.08 is: 5,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.96 : 5,218.32 = 3,448.08 : x
  2. Step 2: Convert to fraction form
    3,474.96/5,218.32 = 3,448.08/x
  3. Step 3: Cross multiply
    3,474.96x = 5,218.32 × 3,448.08
  4. Step 4: Simplify right side
    3,474.96x = 17,993,184.83
  5. Step 5: Solve for x
    x = 17,993,184.83/3,474.96
  6. Step 6: Final answer
    x = 5,177.95

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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.