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Finding the Fourth Proportional to 5,101.34, 7,650.38 and 3,468.38

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Solution

The fourth proportional to 5,101.34, 7,650.38 and 3,468.38 is: 5,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.34 : 7,650.38 = 3,468.38 : x
  2. Step 2: Convert to fraction form
    5,101.34/7,650.38 = 3,468.38/x
  3. Step 3: Cross multiply
    5,101.34x = 7,650.38 × 3,468.38
  4. Step 4: Simplify right side
    5,101.34x = 26,534,369.39
  5. Step 5: Solve for x
    x = 26,534,369.39/5,101.34
  6. Step 6: Final answer
    x = 5,201.46

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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.