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Finding the Fourth Proportional to 3,564.72, 4,919.88 and 2,052.24

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Solution

The fourth proportional to 3,564.72, 4,919.88 and 2,052.24 is: 2,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.72 : 4,919.88 = 2,052.24 : x
  2. Step 2: Convert to fraction form
    3,564.72/4,919.88 = 2,052.24/x
  3. Step 3: Cross multiply
    3,564.72x = 4,919.88 × 2,052.24
  4. Step 4: Simplify right side
    3,564.72x = 10,096,774.53
  5. Step 5: Solve for x
    x = 10,096,774.53/3,564.72
  6. Step 6: Final answer
    x = 2,832.42

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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.