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Finding the Fourth Proportional to 3,435.44, 5,148.84 and 2,463.44

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Solution

The fourth proportional to 3,435.44, 5,148.84 and 2,463.44 is: 3,692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.44 : 5,148.84 = 2,463.44 : x
  2. Step 2: Convert to fraction form
    3,435.44/5,148.84 = 2,463.44/x
  3. Step 3: Cross multiply
    3,435.44x = 5,148.84 × 2,463.44
  4. Step 4: Simplify right side
    3,435.44x = 12,683,858.41
  5. Step 5: Solve for x
    x = 12,683,858.41/3,435.44
  6. Step 6: Final answer
    x = 3,692.06

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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.