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Finding the Fourth Proportional to 5,463.70, 7,539.99 and 3,105.84

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Solution

The fourth proportional to 5,463.70, 7,539.99 and 3,105.84 is: 4,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.70 : 7,539.99 = 3,105.84 : x
  2. Step 2: Convert to fraction form
    5,463.70/7,539.99 = 3,105.84/x
  3. Step 3: Cross multiply
    5,463.70x = 7,539.99 × 3,105.84
  4. Step 4: Simplify right side
    5,463.70x = 23,418,019.17
  5. Step 5: Solve for x
    x = 23,418,019.17/5,463.70
  6. Step 6: Final answer
    x = 4,286.11

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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.