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Finding the Fourth Proportional to 5,400.96, 7,452.78 and 3,985.43

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Solution

The fourth proportional to 5,400.96, 7,452.78 and 3,985.43 is: 5,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.96 : 7,452.78 = 3,985.43 : x
  2. Step 2: Convert to fraction form
    5,400.96/7,452.78 = 3,985.43/x
  3. Step 3: Cross multiply
    5,400.96x = 7,452.78 × 3,985.43
  4. Step 4: Simplify right side
    5,400.96x = 29,702,495.73
  5. Step 5: Solve for x
    x = 29,702,495.73/5,400.96
  6. Step 6: Final answer
    x = 5,499.48

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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.