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Finding the Fourth Proportional to 5,889.71, 8,127.14 and 3,236.96

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Solution

The fourth proportional to 5,889.71, 8,127.14 and 3,236.96 is: 4,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.71 : 8,127.14 = 3,236.96 : x
  2. Step 2: Convert to fraction form
    5,889.71/8,127.14 = 3,236.96/x
  3. Step 3: Cross multiply
    5,889.71x = 8,127.14 × 3,236.96
  4. Step 4: Simplify right side
    5,889.71x = 26,307,231.23
  5. Step 5: Solve for x
    x = 26,307,231.23/5,889.71
  6. Step 6: Final answer
    x = 4,466.64

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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.