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Finding the Fourth Proportional to 3,202.16, 4,807.68 and 2,544.44

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Solution

The fourth proportional to 3,202.16, 4,807.68 and 2,544.44 is: 3,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.16 : 4,807.68 = 2,544.44 : x
  2. Step 2: Convert to fraction form
    3,202.16/4,807.68 = 2,544.44/x
  3. Step 3: Cross multiply
    3,202.16x = 4,807.68 × 2,544.44
  4. Step 4: Simplify right side
    3,202.16x = 12,232,853.30
  5. Step 5: Solve for x
    x = 12,232,853.30/3,202.16
  6. Step 6: Final answer
    x = 3,820.19

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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.