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Finding the Fourth Proportional to 5,247.30, 7,871.95 and 1,960.26

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Solution

The fourth proportional to 5,247.30, 7,871.95 and 1,960.26 is: 2,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.30 : 7,871.95 = 1,960.26 : x
  2. Step 2: Convert to fraction form
    5,247.30/7,871.95 = 1,960.26/x
  3. Step 3: Cross multiply
    5,247.30x = 7,871.95 × 1,960.26
  4. Step 4: Simplify right side
    5,247.30x = 15,431,068.71
  5. Step 5: Solve for x
    x = 15,431,068.71/5,247.30
  6. Step 6: Final answer
    x = 2,940.76

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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.