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Finding the Fourth Proportional to 3,462.03, 5,189.81 and 1,270.17

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Solution

The fourth proportional to 3,462.03, 5,189.81 and 1,270.17 is: 1,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.03 : 5,189.81 = 1,270.17 : x
  2. Step 2: Convert to fraction form
    3,462.03/5,189.81 = 1,270.17/x
  3. Step 3: Cross multiply
    3,462.03x = 5,189.81 × 1,270.17
  4. Step 4: Simplify right side
    3,462.03x = 6,591,934.62
  5. Step 5: Solve for x
    x = 6,591,934.62/3,462.03
  6. Step 6: Final answer
    x = 1,904.07

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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.