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Finding the Fourth Proportional to 4,767.40, 7,153.90 and 1,993.84

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Solution

The fourth proportional to 4,767.40, 7,153.90 and 1,993.84 is: 2,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.40 : 7,153.90 = 1,993.84 : x
  2. Step 2: Convert to fraction form
    4,767.40/7,153.90 = 1,993.84/x
  3. Step 3: Cross multiply
    4,767.40x = 7,153.90 × 1,993.84
  4. Step 4: Simplify right side
    4,767.40x = 14,263,731.98
  5. Step 5: Solve for x
    x = 14,263,731.98/4,767.40
  6. Step 6: Final answer
    x = 2,991.93

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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.