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Finding the Fourth Proportional to 3,184.95, 4,396.11 and 2,489.43

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Solution

The fourth proportional to 3,184.95, 4,396.11 and 2,489.43 is: 3,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.95 : 4,396.11 = 2,489.43 : x
  2. Step 2: Convert to fraction form
    3,184.95/4,396.11 = 2,489.43/x
  3. Step 3: Cross multiply
    3,184.95x = 4,396.11 × 2,489.43
  4. Step 4: Simplify right side
    3,184.95x = 10,943,808.12
  5. Step 5: Solve for x
    x = 10,943,808.12/3,184.95
  6. Step 6: Final answer
    x = 3,436.10

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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.