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Finding the Fourth Proportional to 5,309.63, 7,327.22 and 3,071.46

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Solution

The fourth proportional to 5,309.63, 7,327.22 and 3,071.46 is: 4,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.63 : 7,327.22 = 3,071.46 : x
  2. Step 2: Convert to fraction form
    5,309.63/7,327.22 = 3,071.46/x
  3. Step 3: Cross multiply
    5,309.63x = 7,327.22 × 3,071.46
  4. Step 4: Simplify right side
    5,309.63x = 22,505,270.82
  5. Step 5: Solve for x
    x = 22,505,270.82/5,309.63
  6. Step 6: Final answer
    x = 4,238.57

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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.