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Finding the Fourth Proportional to 5,163.65, 7,125.74 and 2,805.81

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Solution

The fourth proportional to 5,163.65, 7,125.74 and 2,805.81 is: 3,871.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.65 : 7,125.74 = 2,805.81 : x
  2. Step 2: Convert to fraction form
    5,163.65/7,125.74 = 2,805.81/x
  3. Step 3: Cross multiply
    5,163.65x = 7,125.74 × 2,805.81
  4. Step 4: Simplify right side
    5,163.65x = 19,993,442.32
  5. Step 5: Solve for x
    x = 19,993,442.32/5,163.65
  6. Step 6: Final answer
    x = 3,871.96

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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.