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Finding the Fourth Proportional to 3,583.44, 5,374.26 and 2,412.78

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Solution

The fourth proportional to 3,583.44, 5,374.26 and 2,412.78 is: 3,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.44 : 5,374.26 = 2,412.78 : x
  2. Step 2: Convert to fraction form
    3,583.44/5,374.26 = 2,412.78/x
  3. Step 3: Cross multiply
    3,583.44x = 5,374.26 × 2,412.78
  4. Step 4: Simplify right side
    3,583.44x = 12,966,907.04
  5. Step 5: Solve for x
    x = 12,966,907.04/3,583.44
  6. Step 6: Final answer
    x = 3,618.56

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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.