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Finding the Fourth Proportional to 5,309.34, 7,966.20 and 2,346.22

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Solution

The fourth proportional to 5,309.34, 7,966.20 and 2,346.22 is: 3,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.34 : 7,966.20 = 2,346.22 : x
  2. Step 2: Convert to fraction form
    5,309.34/7,966.20 = 2,346.22/x
  3. Step 3: Cross multiply
    5,309.34x = 7,966.20 × 2,346.22
  4. Step 4: Simplify right side
    5,309.34x = 18,690,458.92
  5. Step 5: Solve for x
    x = 18,690,458.92/5,309.34
  6. Step 6: Final answer
    x = 3,520.30

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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.