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Finding the Fourth Proportional to 6,452.29, 8,906.87 and 5,462.69

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Solution

The fourth proportional to 6,452.29, 8,906.87 and 5,462.69 is: 7,540.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.29 : 8,906.87 = 5,462.69 : x
  2. Step 2: Convert to fraction form
    6,452.29/8,906.87 = 5,462.69/x
  3. Step 3: Cross multiply
    6,452.29x = 8,906.87 × 5,462.69
  4. Step 4: Simplify right side
    6,452.29x = 48,655,442.37
  5. Step 5: Solve for x
    x = 48,655,442.37/6,452.29
  6. Step 6: Final answer
    x = 7,540.81

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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.