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Finding the Fourth Proportional to 3,436.28, 4,742.10 and 2,019.68

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Solution

The fourth proportional to 3,436.28, 4,742.10 and 2,019.68 is: 2,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.28 : 4,742.10 = 2,019.68 : x
  2. Step 2: Convert to fraction form
    3,436.28/4,742.10 = 2,019.68/x
  3. Step 3: Cross multiply
    3,436.28x = 4,742.10 × 2,019.68
  4. Step 4: Simplify right side
    3,436.28x = 9,577,524.53
  5. Step 5: Solve for x
    x = 9,577,524.53/3,436.28
  6. Step 6: Final answer
    x = 2,787.18

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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.