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Finding the Fourth Proportional to 22,490.36, 33,735.58 and 5,849

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Solution

The fourth proportional to 22,490.36, 33,735.58 and 5,849 is: 8,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,490.36 : 33,735.58 = 5,849 : x
  2. Step 2: Convert to fraction form
    22,490.36/33,735.58 = 5,849/x
  3. Step 3: Cross multiply
    22,490.36x = 33,735.58 × 5,849
  4. Step 4: Simplify right side
    22,490.36x = 197,319,407.42
  5. Step 5: Solve for x
    x = 197,319,407.42/22,490.36
  6. Step 6: Final answer
    x = 8,773.51

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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.