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Finding the Fourth Proportional to 4,896.68, 7,331.90 and 4,119.08

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Solution

The fourth proportional to 4,896.68, 7,331.90 and 4,119.08 is: 6,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.68 : 7,331.90 = 4,119.08 : x
  2. Step 2: Convert to fraction form
    4,896.68/7,331.90 = 4,119.08/x
  3. Step 3: Cross multiply
    4,896.68x = 7,331.90 × 4,119.08
  4. Step 4: Simplify right side
    4,896.68x = 30,200,682.65
  5. Step 5: Solve for x
    x = 30,200,682.65/4,896.68
  6. Step 6: Final answer
    x = 6,167.58

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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.