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Finding the Fourth Proportional to 5,398.87, 8,096.79 and 3,421.57

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Solution

The fourth proportional to 5,398.87, 8,096.79 and 3,421.57 is: 5,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.87 : 8,096.79 = 3,421.57 : x
  2. Step 2: Convert to fraction form
    5,398.87/8,096.79 = 3,421.57/x
  3. Step 3: Cross multiply
    5,398.87x = 8,096.79 × 3,421.57
  4. Step 4: Simplify right side
    5,398.87x = 27,703,733.76
  5. Step 5: Solve for x
    x = 27,703,733.76/5,398.87
  6. Step 6: Final answer
    x = 5,131.39

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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.