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Finding the Fourth Proportional to 5,705.75, 7,843.70 and 4,906.14

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Solution

The fourth proportional to 5,705.75, 7,843.70 and 4,906.14 is: 6,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.75 : 7,843.70 = 4,906.14 : x
  2. Step 2: Convert to fraction form
    5,705.75/7,843.70 = 4,906.14/x
  3. Step 3: Cross multiply
    5,705.75x = 7,843.70 × 4,906.14
  4. Step 4: Simplify right side
    5,705.75x = 38,482,317.29
  5. Step 5: Solve for x
    x = 38,482,317.29/5,705.75
  6. Step 6: Final answer
    x = 6,744.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.