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Finding the Fourth Proportional to 5,490.54, 8,233.74 and 1,791.90

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Solution

The fourth proportional to 5,490.54, 8,233.74 and 1,791.90 is: 2,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.54 : 8,233.74 = 1,791.90 : x
  2. Step 2: Convert to fraction form
    5,490.54/8,233.74 = 1,791.90/x
  3. Step 3: Cross multiply
    5,490.54x = 8,233.74 × 1,791.90
  4. Step 4: Simplify right side
    5,490.54x = 14,754,038.71
  5. Step 5: Solve for x
    x = 14,754,038.71/5,490.54
  6. Step 6: Final answer
    x = 2,687.17

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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.