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Finding the Fourth Proportional to 5,906.80, 8,152.50 and 3,669.58

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Solution

The fourth proportional to 5,906.80, 8,152.50 and 3,669.58 is: 5,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.80 : 8,152.50 = 3,669.58 : x
  2. Step 2: Convert to fraction form
    5,906.80/8,152.50 = 3,669.58/x
  3. Step 3: Cross multiply
    5,906.80x = 8,152.50 × 3,669.58
  4. Step 4: Simplify right side
    5,906.80x = 29,916,250.95
  5. Step 5: Solve for x
    x = 29,916,250.95/5,906.80
  6. Step 6: Final answer
    x = 5,064.71

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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.