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Finding the Fourth Proportional to 5,309.91, 7,327.40 and 3,071.88

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Solution

The fourth proportional to 5,309.91, 7,327.40 and 3,071.88 is: 4,239.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.91 : 7,327.40 = 3,071.88 : x
  2. Step 2: Convert to fraction form
    5,309.91/7,327.40 = 3,071.88/x
  3. Step 3: Cross multiply
    5,309.91x = 7,327.40 × 3,071.88
  4. Step 4: Simplify right side
    5,309.91x = 22,508,878.15
  5. Step 5: Solve for x
    x = 22,508,878.15/5,309.91
  6. Step 6: Final answer
    x = 4,239.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.