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Finding the Fourth Proportional to 5,633.69, 7,732.83 and 4,990.14

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Solution

The fourth proportional to 5,633.69, 7,732.83 and 4,990.14 is: 6,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.69 : 7,732.83 = 4,990.14 : x
  2. Step 2: Convert to fraction form
    5,633.69/7,732.83 = 4,990.14/x
  3. Step 3: Cross multiply
    5,633.69x = 7,732.83 × 4,990.14
  4. Step 4: Simplify right side
    5,633.69x = 38,587,923.01
  5. Step 5: Solve for x
    x = 38,587,923.01/5,633.69
  6. Step 6: Final answer
    x = 6,849.50

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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.