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Finding the Fourth Proportional to 5,388.50, 7,433.68 and 3,894.05

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Solution

The fourth proportional to 5,388.50, 7,433.68 and 3,894.05 is: 5,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.50 : 7,433.68 = 3,894.05 : x
  2. Step 2: Convert to fraction form
    5,388.50/7,433.68 = 3,894.05/x
  3. Step 3: Cross multiply
    5,388.50x = 7,433.68 × 3,894.05
  4. Step 4: Simplify right side
    5,388.50x = 28,947,089.30
  5. Step 5: Solve for x
    x = 28,947,089.30/5,388.50
  6. Step 6: Final answer
    x = 5,372.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.