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Finding the Fourth Proportional to 3,227.45, 4,840.71 and 1,583.55

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Solution

The fourth proportional to 3,227.45, 4,840.71 and 1,583.55 is: 2,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.45 : 4,840.71 = 1,583.55 : x
  2. Step 2: Convert to fraction form
    3,227.45/4,840.71 = 1,583.55/x
  3. Step 3: Cross multiply
    3,227.45x = 4,840.71 × 1,583.55
  4. Step 4: Simplify right side
    3,227.45x = 7,665,509.29
  5. Step 5: Solve for x
    x = 7,665,509.29/3,227.45
  6. Step 6: Final answer
    x = 2,375.10

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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.