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Finding the Fourth Proportional to 6,588.25, 9,092.06 and 3,793.75

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Solution

The fourth proportional to 6,588.25, 9,092.06 and 3,793.75 is: 5,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.25 : 9,092.06 = 3,793.75 : x
  2. Step 2: Convert to fraction form
    6,588.25/9,092.06 = 3,793.75/x
  3. Step 3: Cross multiply
    6,588.25x = 9,092.06 × 3,793.75
  4. Step 4: Simplify right side
    6,588.25x = 34,493,002.63
  5. Step 5: Solve for x
    x = 34,493,002.63/6,588.25
  6. Step 6: Final answer
    x = 5,235.53

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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.