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Finding the Fourth Proportional to 3,563.49, 5,342.71 and 1,096.98

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Solution

The fourth proportional to 3,563.49, 5,342.71 and 1,096.98 is: 1,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.49 : 5,342.71 = 1,096.98 : x
  2. Step 2: Convert to fraction form
    3,563.49/5,342.71 = 1,096.98/x
  3. Step 3: Cross multiply
    3,563.49x = 5,342.71 × 1,096.98
  4. Step 4: Simplify right side
    3,563.49x = 5,860,846.02
  5. Step 5: Solve for x
    x = 5,860,846.02/3,563.49
  6. Step 6: Final answer
    x = 1,644.69

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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.