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Finding the Fourth Proportional to 3,726.84, 5,590.26 and 1,998.84

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Solution

The fourth proportional to 3,726.84, 5,590.26 and 1,998.84 is: 2,998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.84 : 5,590.26 = 1,998.84 : x
  2. Step 2: Convert to fraction form
    3,726.84/5,590.26 = 1,998.84/x
  3. Step 3: Cross multiply
    3,726.84x = 5,590.26 × 1,998.84
  4. Step 4: Simplify right side
    3,726.84x = 11,174,035.30
  5. Step 5: Solve for x
    x = 11,174,035.30/3,726.84
  6. Step 6: Final answer
    x = 2,998.26

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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.