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Finding the Fourth Proportional to 4,199.65, 6,287.32 and 3,164.02

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Solution

The fourth proportional to 4,199.65, 6,287.32 and 3,164.02 is: 4,736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.65 : 6,287.32 = 3,164.02 : x
  2. Step 2: Convert to fraction form
    4,199.65/6,287.32 = 3,164.02/x
  3. Step 3: Cross multiply
    4,199.65x = 6,287.32 × 3,164.02
  4. Step 4: Simplify right side
    4,199.65x = 19,893,206.23
  5. Step 5: Solve for x
    x = 19,893,206.23/4,199.65
  6. Step 6: Final answer
    x = 4,736.87

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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.