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Finding the Fourth Proportional to 5,422.41, 8,134.00 and 2,302.07

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Solution

The fourth proportional to 5,422.41, 8,134.00 and 2,302.07 is: 3,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.41 : 8,134.00 = 2,302.07 : x
  2. Step 2: Convert to fraction form
    5,422.41/8,134.00 = 2,302.07/x
  3. Step 3: Cross multiply
    5,422.41x = 8,134.00 × 2,302.07
  4. Step 4: Simplify right side
    5,422.41x = 18,724,990.95
  5. Step 5: Solve for x
    x = 18,724,990.95/5,422.41
  6. Step 6: Final answer
    x = 3,453.26

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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.