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Finding the Fourth Proportional to 5,709.71, 7,881.83 and 3,472.31

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Solution

The fourth proportional to 5,709.71, 7,881.83 and 3,472.31 is: 4,793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.71 : 7,881.83 = 3,472.31 : x
  2. Step 2: Convert to fraction form
    5,709.71/7,881.83 = 3,472.31/x
  3. Step 3: Cross multiply
    5,709.71x = 7,881.83 × 3,472.31
  4. Step 4: Simplify right side
    5,709.71x = 27,368,100.36
  5. Step 5: Solve for x
    x = 27,368,100.36/5,709.71
  6. Step 6: Final answer
    x = 4,793.26

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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.