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Finding the Fourth Proportional to 4,903.82, 7,356.97 and 1,441.07

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Solution

The fourth proportional to 4,903.82, 7,356.97 and 1,441.07 is: 2,161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.82 : 7,356.97 = 1,441.07 : x
  2. Step 2: Convert to fraction form
    4,903.82/7,356.97 = 1,441.07/x
  3. Step 3: Cross multiply
    4,903.82x = 7,356.97 × 1,441.07
  4. Step 4: Simplify right side
    4,903.82x = 10,601,908.76
  5. Step 5: Solve for x
    x = 10,601,908.76/4,903.82
  6. Step 6: Final answer
    x = 2,161.97

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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.