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Finding the Fourth Proportional to 3,482.77, 5,224.61 and 1,839.38

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Solution

The fourth proportional to 3,482.77, 5,224.61 and 1,839.38 is: 2,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.77 : 5,224.61 = 1,839.38 : x
  2. Step 2: Convert to fraction form
    3,482.77/5,224.61 = 1,839.38/x
  3. Step 3: Cross multiply
    3,482.77x = 5,224.61 × 1,839.38
  4. Step 4: Simplify right side
    3,482.77x = 9,610,033.94
  5. Step 5: Solve for x
    x = 9,610,033.94/3,482.77
  6. Step 6: Final answer
    x = 2,759.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.