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Finding the Fourth Proportional to 5,738.37, 8,605.29 and 3,403.14

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Solution

The fourth proportional to 5,738.37, 8,605.29 and 3,403.14 is: 5,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.37 : 8,605.29 = 3,403.14 : x
  2. Step 2: Convert to fraction form
    5,738.37/8,605.29 = 3,403.14/x
  3. Step 3: Cross multiply
    5,738.37x = 8,605.29 × 3,403.14
  4. Step 4: Simplify right side
    5,738.37x = 29,285,006.61
  5. Step 5: Solve for x
    x = 29,285,006.61/5,738.37
  6. Step 6: Final answer
    x = 5,103.37

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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.