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Finding the Fourth Proportional to 3,755.58, 5,624.91 and 1,809.24

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Solution

The fourth proportional to 3,755.58, 5,624.91 and 1,809.24 is: 2,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.58 : 5,624.91 = 1,809.24 : x
  2. Step 2: Convert to fraction form
    3,755.58/5,624.91 = 1,809.24/x
  3. Step 3: Cross multiply
    3,755.58x = 5,624.91 × 1,809.24
  4. Step 4: Simplify right side
    3,755.58x = 10,176,812.17
  5. Step 5: Solve for x
    x = 10,176,812.17/3,755.58
  6. Step 6: Final answer
    x = 2,709.78

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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.