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Finding the Fourth Proportional to 5,228.28, 7,840.98 and 3,755.16

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Solution

The fourth proportional to 5,228.28, 7,840.98 and 3,755.16 is: 5,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.28 : 7,840.98 = 3,755.16 : x
  2. Step 2: Convert to fraction form
    5,228.28/7,840.98 = 3,755.16/x
  3. Step 3: Cross multiply
    5,228.28x = 7,840.98 × 3,755.16
  4. Step 4: Simplify right side
    5,228.28x = 29,444,134.46
  5. Step 5: Solve for x
    x = 29,444,134.46/5,228.28
  6. Step 6: Final answer
    x = 5,631.71

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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.