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Finding the Fourth Proportional to 3,639.41, 5,459.09 and 1,042.34

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Solution

The fourth proportional to 3,639.41, 5,459.09 and 1,042.34 is: 1,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.41 : 5,459.09 = 1,042.34 : x
  2. Step 2: Convert to fraction form
    3,639.41/5,459.09 = 1,042.34/x
  3. Step 3: Cross multiply
    3,639.41x = 5,459.09 × 1,042.34
  4. Step 4: Simplify right side
    3,639.41x = 5,690,244.12
  5. Step 5: Solve for x
    x = 5,690,244.12/3,639.41
  6. Step 6: Final answer
    x = 1,563.51

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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.