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Finding the Fourth Proportional to 5,188.70, 7,783.48 and 2,227.26

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Solution

The fourth proportional to 5,188.70, 7,783.48 and 2,227.26 is: 3,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.70 : 7,783.48 = 2,227.26 : x
  2. Step 2: Convert to fraction form
    5,188.70/7,783.48 = 2,227.26/x
  3. Step 3: Cross multiply
    5,188.70x = 7,783.48 × 2,227.26
  4. Step 4: Simplify right side
    5,188.70x = 17,335,833.66
  5. Step 5: Solve for x
    x = 17,335,833.66/5,188.70
  6. Step 6: Final answer
    x = 3,341.07

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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.