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Finding the Fourth Proportional to 3,805.31, 5,708.69 and 1,753.31

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Solution

The fourth proportional to 3,805.31, 5,708.69 and 1,753.31 is: 2,630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.31 : 5,708.69 = 1,753.31 : x
  2. Step 2: Convert to fraction form
    3,805.31/5,708.69 = 1,753.31/x
  3. Step 3: Cross multiply
    3,805.31x = 5,708.69 × 1,753.31
  4. Step 4: Simplify right side
    3,805.31x = 10,009,115.34
  5. Step 5: Solve for x
    x = 10,009,115.34/3,805.31
  6. Step 6: Final answer
    x = 2,630.30

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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.