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Finding the Fourth Proportional to 5,805.72, 8,710.50 and 3,865.56

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Solution

The fourth proportional to 5,805.72, 8,710.50 and 3,865.56 is: 5,799.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.72 : 8,710.50 = 3,865.56 : x
  2. Step 2: Convert to fraction form
    5,805.72/8,710.50 = 3,865.56/x
  3. Step 3: Cross multiply
    5,805.72x = 8,710.50 × 3,865.56
  4. Step 4: Simplify right side
    5,805.72x = 33,670,960.38
  5. Step 5: Solve for x
    x = 33,670,960.38/5,805.72
  6. Step 6: Final answer
    x = 5,799.62

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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.