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Finding the Fourth Proportional to 5,738.13, 8,608.50 and 2,040.66

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Solution

The fourth proportional to 5,738.13, 8,608.50 and 2,040.66 is: 3,061.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.13 : 8,608.50 = 2,040.66 : x
  2. Step 2: Convert to fraction form
    5,738.13/8,608.50 = 2,040.66/x
  3. Step 3: Cross multiply
    5,738.13x = 8,608.50 × 2,040.66
  4. Step 4: Simplify right side
    5,738.13x = 17,567,021.61
  5. Step 5: Solve for x
    x = 17,567,021.61/5,738.13
  6. Step 6: Final answer
    x = 3,061.45

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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.