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Finding the Fourth Proportional to 5,906.65, 8,143.01 and 4,225.12

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Solution

The fourth proportional to 5,906.65, 8,143.01 and 4,225.12 is: 5,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.65 : 8,143.01 = 4,225.12 : x
  2. Step 2: Convert to fraction form
    5,906.65/8,143.01 = 4,225.12/x
  3. Step 3: Cross multiply
    5,906.65x = 8,143.01 × 4,225.12
  4. Step 4: Simplify right side
    5,906.65x = 34,405,132.57
  5. Step 5: Solve for x
    x = 34,405,132.57/5,906.65
  6. Step 6: Final answer
    x = 5,824.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.