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Finding the Fourth Proportional to 3,410.96, 5,116.73 and 1,462.70

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Solution

The fourth proportional to 3,410.96, 5,116.73 and 1,462.70 is: 2,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.96 : 5,116.73 = 1,462.70 : x
  2. Step 2: Convert to fraction form
    3,410.96/5,116.73 = 1,462.70/x
  3. Step 3: Cross multiply
    3,410.96x = 5,116.73 × 1,462.70
  4. Step 4: Simplify right side
    3,410.96x = 7,484,208.07
  5. Step 5: Solve for x
    x = 7,484,208.07/3,410.96
  6. Step 6: Final answer
    x = 2,194.17

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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.