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Finding the Fourth Proportional to 3,429.88, 5,142.87 and 1,089.43

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Solution

The fourth proportional to 3,429.88, 5,142.87 and 1,089.43 is: 1,633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.88 : 5,142.87 = 1,089.43 : x
  2. Step 2: Convert to fraction form
    3,429.88/5,142.87 = 1,089.43/x
  3. Step 3: Cross multiply
    3,429.88x = 5,142.87 × 1,089.43
  4. Step 4: Simplify right side
    3,429.88x = 5,602,784.01
  5. Step 5: Solve for x
    x = 5,602,784.01/3,429.88
  6. Step 6: Final answer
    x = 1,633.52

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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.