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Finding the Fourth Proportional to 3,482.64, 5,224.42 and 1,839.25

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Solution

The fourth proportional to 3,482.64, 5,224.42 and 1,839.25 is: 2,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.64 : 5,224.42 = 1,839.25 : x
  2. Step 2: Convert to fraction form
    3,482.64/5,224.42 = 1,839.25/x
  3. Step 3: Cross multiply
    3,482.64x = 5,224.42 × 1,839.25
  4. Step 4: Simplify right side
    3,482.64x = 9,609,023.31
  5. Step 5: Solve for x
    x = 9,609,023.31/3,482.64
  6. Step 6: Final answer
    x = 2,759.12

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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.