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Finding the Fourth Proportional to 3,562.09, 5,343.74 and 1,096.86

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Solution

The fourth proportional to 3,562.09, 5,343.74 and 1,096.86 is: 1,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.09 : 5,343.74 = 1,096.86 : x
  2. Step 2: Convert to fraction form
    3,562.09/5,343.74 = 1,096.86/x
  3. Step 3: Cross multiply
    3,562.09x = 5,343.74 × 1,096.86
  4. Step 4: Simplify right side
    3,562.09x = 5,861,334.66
  5. Step 5: Solve for x
    x = 5,861,334.66/3,562.09
  6. Step 6: Final answer
    x = 1,645.48

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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.