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Finding the Fourth Proportional to 5,747.76, 8,619.51 and 2,049.00

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Solution

The fourth proportional to 5,747.76, 8,619.51 and 2,049.00 is: 3,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.76 : 8,619.51 = 2,049.00 : x
  2. Step 2: Convert to fraction form
    5,747.76/8,619.51 = 2,049.00/x
  3. Step 3: Cross multiply
    5,747.76x = 8,619.51 × 2,049.00
  4. Step 4: Simplify right side
    5,747.76x = 17,661,351.35
  5. Step 5: Solve for x
    x = 17,661,351.35/5,747.76
  6. Step 6: Final answer
    x = 3,072.74

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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.