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Finding the Fourth Proportional to 5,733.84, 8,601.98 and 1,840.98

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Solution

The fourth proportional to 5,733.84, 8,601.98 and 1,840.98 is: 2,761.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.84 : 8,601.98 = 1,840.98 : x
  2. Step 2: Convert to fraction form
    5,733.84/8,601.98 = 1,840.98/x
  3. Step 3: Cross multiply
    5,733.84x = 8,601.98 × 1,840.98
  4. Step 4: Simplify right side
    5,733.84x = 15,836,063.94
  5. Step 5: Solve for x
    x = 15,836,063.94/5,733.84
  6. Step 6: Final answer
    x = 2,761.86

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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.