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Finding the Fourth Proportional to 5,388.14, 8,074.70 and 3,014.06

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Solution

The fourth proportional to 5,388.14, 8,074.70 and 3,014.06 is: 4,516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.14 : 8,074.70 = 3,014.06 : x
  2. Step 2: Convert to fraction form
    5,388.14/8,074.70 = 3,014.06/x
  3. Step 3: Cross multiply
    5,388.14x = 8,074.70 × 3,014.06
  4. Step 4: Simplify right side
    5,388.14x = 24,337,648.52
  5. Step 5: Solve for x
    x = 24,337,648.52/5,388.14
  6. Step 6: Final answer
    x = 4,516.90

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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.