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Finding the Fourth Proportional to 5,269.45, 7,896.57 and 4,014.65

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Solution

The fourth proportional to 5,269.45, 7,896.57 and 4,014.65 is: 6,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.45 : 7,896.57 = 4,014.65 : x
  2. Step 2: Convert to fraction form
    5,269.45/7,896.57 = 4,014.65/x
  3. Step 3: Cross multiply
    5,269.45x = 7,896.57 × 4,014.65
  4. Step 4: Simplify right side
    5,269.45x = 31,701,964.75
  5. Step 5: Solve for x
    x = 31,701,964.75/5,269.45
  6. Step 6: Final answer
    x = 6,016.19

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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.