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Finding the Fourth Proportional to 3,689.69, 5,535.61 and 1,092.69

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Solution

The fourth proportional to 3,689.69, 5,535.61 and 1,092.69 is: 1,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.69 : 5,535.61 = 1,092.69 : x
  2. Step 2: Convert to fraction form
    3,689.69/5,535.61 = 1,092.69/x
  3. Step 3: Cross multiply
    3,689.69x = 5,535.61 × 1,092.69
  4. Step 4: Simplify right side
    3,689.69x = 6,048,705.69
  5. Step 5: Solve for x
    x = 6,048,705.69/3,689.69
  6. Step 6: Final answer
    x = 1,639.35

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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.