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Finding the Fourth Proportional to 4,212.06, 6,299.04 and 3,158.65

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Solution

The fourth proportional to 4,212.06, 6,299.04 and 3,158.65 is: 4,723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.06 : 6,299.04 = 3,158.65 : x
  2. Step 2: Convert to fraction form
    4,212.06/6,299.04 = 3,158.65/x
  3. Step 3: Cross multiply
    4,212.06x = 6,299.04 × 3,158.65
  4. Step 4: Simplify right side
    4,212.06x = 19,896,462.70
  5. Step 5: Solve for x
    x = 19,896,462.70/4,212.06
  6. Step 6: Final answer
    x = 4,723.69

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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.