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Finding the Fourth Proportional to 3,851.24, 5,767.02 and 3,072.38

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Solution

The fourth proportional to 3,851.24, 5,767.02 and 3,072.38 is: 4,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.24 : 5,767.02 = 3,072.38 : x
  2. Step 2: Convert to fraction form
    3,851.24/5,767.02 = 3,072.38/x
  3. Step 3: Cross multiply
    3,851.24x = 5,767.02 × 3,072.38
  4. Step 4: Simplify right side
    3,851.24x = 17,718,448.07
  5. Step 5: Solve for x
    x = 17,718,448.07/3,851.24
  6. Step 6: Final answer
    x = 4,600.72

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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.