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Finding the Fourth Proportional to 3,410.70, 5,116.14 and 1,330.62

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Solution

The fourth proportional to 3,410.70, 5,116.14 and 1,330.62 is: 1,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.70 : 5,116.14 = 1,330.62 : x
  2. Step 2: Convert to fraction form
    3,410.70/5,116.14 = 1,330.62/x
  3. Step 3: Cross multiply
    3,410.70x = 5,116.14 × 1,330.62
  4. Step 4: Simplify right side
    3,410.70x = 6,807,638.21
  5. Step 5: Solve for x
    x = 6,807,638.21/3,410.70
  6. Step 6: Final answer
    x = 1,995.97

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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.