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Finding the Fourth Proportional to 3,755.46, 5,631.25 and 1,289.61

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Solution

The fourth proportional to 3,755.46, 5,631.25 and 1,289.61 is: 1,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.46 : 5,631.25 = 1,289.61 : x
  2. Step 2: Convert to fraction form
    3,755.46/5,631.25 = 1,289.61/x
  3. Step 3: Cross multiply
    3,755.46x = 5,631.25 × 1,289.61
  4. Step 4: Simplify right side
    3,755.46x = 7,262,116.31
  5. Step 5: Solve for x
    x = 7,262,116.31/3,755.46
  6. Step 6: Final answer
    x = 1,933.75

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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.