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Finding the Fourth Proportional to 3,643.84, 5,466.30 and 1,912.60

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Solution

The fourth proportional to 3,643.84, 5,466.30 and 1,912.60 is: 2,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.84 : 5,466.30 = 1,912.60 : x
  2. Step 2: Convert to fraction form
    3,643.84/5,466.30 = 1,912.60/x
  3. Step 3: Cross multiply
    3,643.84x = 5,466.30 × 1,912.60
  4. Step 4: Simplify right side
    3,643.84x = 10,454,845.38
  5. Step 5: Solve for x
    x = 10,454,845.38/3,643.84
  6. Step 6: Final answer
    x = 2,869.18

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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.