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Finding the Fourth Proportional to 5,381.24, 8,071.82 and 3,188.39

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Solution

The fourth proportional to 5,381.24, 8,071.82 and 3,188.39 is: 4,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.24 : 8,071.82 = 3,188.39 : x
  2. Step 2: Convert to fraction form
    5,381.24/8,071.82 = 3,188.39/x
  3. Step 3: Cross multiply
    5,381.24x = 8,071.82 × 3,188.39
  4. Step 4: Simplify right side
    5,381.24x = 25,736,114.41
  5. Step 5: Solve for x
    x = 25,736,114.41/5,381.24
  6. Step 6: Final answer
    x = 4,782.56

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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.