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Finding the Fourth Proportional to 5,309.22, 7,956.30 and 3,911.58

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Solution

The fourth proportional to 5,309.22, 7,956.30 and 3,911.58 is: 5,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.22 : 7,956.30 = 3,911.58 : x
  2. Step 2: Convert to fraction form
    5,309.22/7,956.30 = 3,911.58/x
  3. Step 3: Cross multiply
    5,309.22x = 7,956.30 × 3,911.58
  4. Step 4: Simplify right side
    5,309.22x = 31,121,703.95
  5. Step 5: Solve for x
    x = 31,121,703.95/5,309.22
  6. Step 6: Final answer
    x = 5,861.82

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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.