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Finding the Fourth Proportional to 3,429.80, 5,143.38 and 1,089.32

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Solution

The fourth proportional to 3,429.80, 5,143.38 and 1,089.32 is: 1,633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.80 : 5,143.38 = 1,089.32 : x
  2. Step 2: Convert to fraction form
    3,429.80/5,143.38 = 1,089.32/x
  3. Step 3: Cross multiply
    3,429.80x = 5,143.38 × 1,089.32
  4. Step 4: Simplify right side
    3,429.80x = 5,602,786.70
  5. Step 5: Solve for x
    x = 5,602,786.70/3,429.80
  6. Step 6: Final answer
    x = 1,633.56

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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.