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Finding the Fourth Proportional to 5,071.66, 6,996.27 and 3,209.74

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Solution

The fourth proportional to 5,071.66, 6,996.27 and 3,209.74 is: 4,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.66 : 6,996.27 = 3,209.74 : x
  2. Step 2: Convert to fraction form
    5,071.66/6,996.27 = 3,209.74/x
  3. Step 3: Cross multiply
    5,071.66x = 6,996.27 × 3,209.74
  4. Step 4: Simplify right side
    5,071.66x = 22,456,207.67
  5. Step 5: Solve for x
    x = 22,456,207.67/5,071.66
  6. Step 6: Final answer
    x = 4,427.78

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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.