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Finding the Fourth Proportional to 5,635.84, 8,453.12 and 3,562.24

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Solution

The fourth proportional to 5,635.84, 8,453.12 and 3,562.24 is: 5,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.84 : 8,453.12 = 3,562.24 : x
  2. Step 2: Convert to fraction form
    5,635.84/8,453.12 = 3,562.24/x
  3. Step 3: Cross multiply
    5,635.84x = 8,453.12 × 3,562.24
  4. Step 4: Simplify right side
    5,635.84x = 30,112,042.19
  5. Step 5: Solve for x
    x = 30,112,042.19/5,635.84
  6. Step 6: Final answer
    x = 5,342.96

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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.