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Finding the Fourth Proportional to 3,562.11, 5,342.71 and 1,096.88

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Solution

The fourth proportional to 3,562.11, 5,342.71 and 1,096.88 is: 1,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.11 : 5,342.71 = 1,096.88 : x
  2. Step 2: Convert to fraction form
    3,562.11/5,342.71 = 1,096.88/x
  3. Step 3: Cross multiply
    3,562.11x = 5,342.71 × 1,096.88
  4. Step 4: Simplify right side
    3,562.11x = 5,860,311.74
  5. Step 5: Solve for x
    x = 5,860,311.74/3,562.11
  6. Step 6: Final answer
    x = 1,645.18

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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.