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Finding the Fourth Proportional to 5,419.68, 8,117.67 and 3,223.56

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Solution

The fourth proportional to 5,419.68, 8,117.67 and 3,223.56 is: 4,828.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.68 : 8,117.67 = 3,223.56 : x
  2. Step 2: Convert to fraction form
    5,419.68/8,117.67 = 3,223.56/x
  3. Step 3: Cross multiply
    5,419.68x = 8,117.67 × 3,223.56
  4. Step 4: Simplify right side
    5,419.68x = 26,167,796.31
  5. Step 5: Solve for x
    x = 26,167,796.31/5,419.68
  6. Step 6: Final answer
    x = 4,828.29

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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.