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Finding the Fourth Proportional to 3,618.78, 5,428.34 and 1,643.64

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Solution

The fourth proportional to 3,618.78, 5,428.34 and 1,643.64 is: 2,465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.78 : 5,428.34 = 1,643.64 : x
  2. Step 2: Convert to fraction form
    3,618.78/5,428.34 = 1,643.64/x
  3. Step 3: Cross multiply
    3,618.78x = 5,428.34 × 1,643.64
  4. Step 4: Simplify right side
    3,618.78x = 8,922,236.76
  5. Step 5: Solve for x
    x = 8,922,236.76/3,618.78
  6. Step 6: Final answer
    x = 2,465.54

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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.