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Finding the Fourth Proportional to 3,671.44, 5,067 and 2,552.08

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Solution

The fourth proportional to 3,671.44, 5,067 and 2,552.08 is: 3,522.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.44 : 5,067 = 2,552.08 : x
  2. Step 2: Convert to fraction form
    3,671.44/5,067 = 2,552.08/x
  3. Step 3: Cross multiply
    3,671.44x = 5,067 × 2,552.08
  4. Step 4: Simplify right side
    3,671.44x = 12,931,389.36
  5. Step 5: Solve for x
    x = 12,931,389.36/3,671.44
  6. Step 6: Final answer
    x = 3,522.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.