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Finding the Fourth Proportional to 5,093.87, 7,638.17 and 3,014.53

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Solution

The fourth proportional to 5,093.87, 7,638.17 and 3,014.53 is: 4,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.87 : 7,638.17 = 3,014.53 : x
  2. Step 2: Convert to fraction form
    5,093.87/7,638.17 = 3,014.53/x
  3. Step 3: Cross multiply
    5,093.87x = 7,638.17 × 3,014.53
  4. Step 4: Simplify right side
    5,093.87x = 23,025,501.41
  5. Step 5: Solve for x
    x = 23,025,501.41/5,093.87
  6. Step 6: Final answer
    x = 4,520.24

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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.