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Finding the Fourth Proportional to 3,643.84, 5,028.31 and 2,151.21

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Solution

The fourth proportional to 3,643.84, 5,028.31 and 2,151.21 is: 2,968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.84 : 5,028.31 = 2,151.21 : x
  2. Step 2: Convert to fraction form
    3,643.84/5,028.31 = 2,151.21/x
  3. Step 3: Cross multiply
    3,643.84x = 5,028.31 × 2,151.21
  4. Step 4: Simplify right side
    3,643.84x = 10,816,950.76
  5. Step 5: Solve for x
    x = 10,816,950.76/3,643.84
  6. Step 6: Final answer
    x = 2,968.56

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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.