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Finding the Fourth Proportional to 3,911.72, 5,838.19 and 3,382.29

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Solution

The fourth proportional to 3,911.72, 5,838.19 and 3,382.29 is: 5,048.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.72 : 5,838.19 = 3,382.29 : x
  2. Step 2: Convert to fraction form
    3,911.72/5,838.19 = 3,382.29/x
  3. Step 3: Cross multiply
    3,911.72x = 5,838.19 × 3,382.29
  4. Step 4: Simplify right side
    3,911.72x = 19,746,443.20
  5. Step 5: Solve for x
    x = 19,746,443.20/3,911.72
  6. Step 6: Final answer
    x = 5,048.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.