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Finding the Fourth Proportional to 5,311.17, 7,966.62 and 2,539.80

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Solution

The fourth proportional to 5,311.17, 7,966.62 and 2,539.80 is: 3,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.17 : 7,966.62 = 2,539.80 : x
  2. Step 2: Convert to fraction form
    5,311.17/7,966.62 = 2,539.80/x
  3. Step 3: Cross multiply
    5,311.17x = 7,966.62 × 2,539.80
  4. Step 4: Simplify right side
    5,311.17x = 20,233,621.48
  5. Step 5: Solve for x
    x = 20,233,621.48/5,311.17
  6. Step 6: Final answer
    x = 3,809.64

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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.