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Finding the Fourth Proportional to 6,579.40, 9,869.10 and 3,460.20

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Solution

The fourth proportional to 6,579.40, 9,869.10 and 3,460.20 is: 5,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.40 : 9,869.10 = 3,460.20 : x
  2. Step 2: Convert to fraction form
    6,579.40/9,869.10 = 3,460.20/x
  3. Step 3: Cross multiply
    6,579.40x = 9,869.10 × 3,460.20
  4. Step 4: Simplify right side
    6,579.40x = 34,149,059.82
  5. Step 5: Solve for x
    x = 34,149,059.82/6,579.40
  6. Step 6: Final answer
    x = 5,190.30

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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.