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Finding the Fourth Proportional to 3,812.36, 5,704.16 and 2,253.24

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Solution

The fourth proportional to 3,812.36, 5,704.16 and 2,253.24 is: 3,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.36 : 5,704.16 = 2,253.24 : x
  2. Step 2: Convert to fraction form
    3,812.36/5,704.16 = 2,253.24/x
  3. Step 3: Cross multiply
    3,812.36x = 5,704.16 × 2,253.24
  4. Step 4: Simplify right side
    3,812.36x = 12,852,830.21
  5. Step 5: Solve for x
    x = 12,852,830.21/3,812.36
  6. Step 6: Final answer
    x = 3,371.36

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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.