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Finding the Fourth Proportional to 3,465.99, 4,781.43 and 2,270.97

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Solution

The fourth proportional to 3,465.99, 4,781.43 and 2,270.97 is: 3,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.99 : 4,781.43 = 2,270.97 : x
  2. Step 2: Convert to fraction form
    3,465.99/4,781.43 = 2,270.97/x
  3. Step 3: Cross multiply
    3,465.99x = 4,781.43 × 2,270.97
  4. Step 4: Simplify right side
    3,465.99x = 10,858,484.09
  5. Step 5: Solve for x
    x = 10,858,484.09/3,465.99
  6. Step 6: Final answer
    x = 3,132.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.