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Finding the Fourth Proportional to 5,311.70, 7,967.30 and 2,191.66

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Solution

The fourth proportional to 5,311.70, 7,967.30 and 2,191.66 is: 3,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.70 : 7,967.30 = 2,191.66 : x
  2. Step 2: Convert to fraction form
    5,311.70/7,967.30 = 2,191.66/x
  3. Step 3: Cross multiply
    5,311.70x = 7,967.30 × 2,191.66
  4. Step 4: Simplify right side
    5,311.70x = 17,461,612.72
  5. Step 5: Solve for x
    x = 17,461,612.72/5,311.70
  6. Step 6: Final answer
    x = 3,287.39

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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.