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Finding the Fourth Proportional to 5,906.70, 8,865.69 and 4,502.16

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Solution

The fourth proportional to 5,906.70, 8,865.69 and 4,502.16 is: 6,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.70 : 8,865.69 = 4,502.16 : x
  2. Step 2: Convert to fraction form
    5,906.70/8,865.69 = 4,502.16/x
  3. Step 3: Cross multiply
    5,906.70x = 8,865.69 × 4,502.16
  4. Step 4: Simplify right side
    5,906.70x = 39,914,754.89
  5. Step 5: Solve for x
    x = 39,914,754.89/5,906.70
  6. Step 6: Final answer
    x = 6,757.54

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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.