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Finding the Fourth Proportional to 4,451.67, 6,143.42 and 2,882.51

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Solution

The fourth proportional to 4,451.67, 6,143.42 and 2,882.51 is: 3,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.67 : 6,143.42 = 2,882.51 : x
  2. Step 2: Convert to fraction form
    4,451.67/6,143.42 = 2,882.51/x
  3. Step 3: Cross multiply
    4,451.67x = 6,143.42 × 2,882.51
  4. Step 4: Simplify right side
    4,451.67x = 17,708,424.45
  5. Step 5: Solve for x
    x = 17,708,424.45/4,451.67
  6. Step 6: Final answer
    x = 3,977.93

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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.