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Finding the Fourth Proportional to 4,993.87, 7,463.17 and 4,705.78

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Solution

The fourth proportional to 4,993.87, 7,463.17 and 4,705.78 is: 7,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.87 : 7,463.17 = 4,705.78 : x
  2. Step 2: Convert to fraction form
    4,993.87/7,463.17 = 4,705.78/x
  3. Step 3: Cross multiply
    4,993.87x = 7,463.17 × 4,705.78
  4. Step 4: Simplify right side
    4,993.87x = 35,120,036.12
  5. Step 5: Solve for x
    x = 35,120,036.12/4,993.87
  6. Step 6: Final answer
    x = 7,032.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.