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Finding the Fourth Proportional to 3,753.56, 5,632.68 and 1,805.96

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Solution

The fourth proportional to 3,753.56, 5,632.68 and 1,805.96 is: 2,710.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.56 : 5,632.68 = 1,805.96 : x
  2. Step 2: Convert to fraction form
    3,753.56/5,632.68 = 1,805.96/x
  3. Step 3: Cross multiply
    3,753.56x = 5,632.68 × 1,805.96
  4. Step 4: Simplify right side
    3,753.56x = 10,172,394.77
  5. Step 5: Solve for x
    x = 10,172,394.77/3,753.56
  6. Step 6: Final answer
    x = 2,710.07

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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.