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Finding the Fourth Proportional to 3,429.64, 5,145.21 and 1,089.78

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Solution

The fourth proportional to 3,429.64, 5,145.21 and 1,089.78 is: 1,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.64 : 5,145.21 = 1,089.78 : x
  2. Step 2: Convert to fraction form
    3,429.64/5,145.21 = 1,089.78/x
  3. Step 3: Cross multiply
    3,429.64x = 5,145.21 × 1,089.78
  4. Step 4: Simplify right side
    3,429.64x = 5,607,127.66
  5. Step 5: Solve for x
    x = 5,607,127.66/3,429.64
  6. Step 6: Final answer
    x = 1,634.90

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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.