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Finding the Fourth Proportional to 3,643.86, 5,028.50 and 2,151.78

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Solution

The fourth proportional to 3,643.86, 5,028.50 and 2,151.78 is: 2,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.86 : 5,028.50 = 2,151.78 : x
  2. Step 2: Convert to fraction form
    3,643.86/5,028.50 = 2,151.78/x
  3. Step 3: Cross multiply
    3,643.86x = 5,028.50 × 2,151.78
  4. Step 4: Simplify right side
    3,643.86x = 10,820,225.73
  5. Step 5: Solve for x
    x = 10,820,225.73/3,643.86
  6. Step 6: Final answer
    x = 2,969.44

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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.