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Finding the Fourth Proportional to 3,424.72, 5,137.59 and 1,084.20

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Solution

The fourth proportional to 3,424.72, 5,137.59 and 1,084.20 is: 1,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.72 : 5,137.59 = 1,084.20 : x
  2. Step 2: Convert to fraction form
    3,424.72/5,137.59 = 1,084.20/x
  3. Step 3: Cross multiply
    3,424.72x = 5,137.59 × 1,084.20
  4. Step 4: Simplify right side
    3,424.72x = 5,570,175.08
  5. Step 5: Solve for x
    x = 5,570,175.08/3,424.72
  6. Step 6: Final answer
    x = 1,626.46

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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.