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Finding the Fourth Proportional to 3,466.40, 5,196.22 and 1,984.10

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Solution

The fourth proportional to 3,466.40, 5,196.22 and 1,984.10 is: 2,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.40 : 5,196.22 = 1,984.10 : x
  2. Step 2: Convert to fraction form
    3,466.40/5,196.22 = 1,984.10/x
  3. Step 3: Cross multiply
    3,466.40x = 5,196.22 × 1,984.10
  4. Step 4: Simplify right side
    3,466.40x = 10,309,820.10
  5. Step 5: Solve for x
    x = 10,309,820.10/3,466.40
  6. Step 6: Final answer
    x = 2,974.22

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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.