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Finding the Fourth Proportional to 4,774.81, 7,162.56 and 1,998.69

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Solution

The fourth proportional to 4,774.81, 7,162.56 and 1,998.69 is: 2,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.81 : 7,162.56 = 1,998.69 : x
  2. Step 2: Convert to fraction form
    4,774.81/7,162.56 = 1,998.69/x
  3. Step 3: Cross multiply
    4,774.81x = 7,162.56 × 1,998.69
  4. Step 4: Simplify right side
    4,774.81x = 14,315,737.05
  5. Step 5: Solve for x
    x = 14,315,737.05/4,774.81
  6. Step 6: Final answer
    x = 2,998.18

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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.