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Finding the Fourth Proportional to 3,563.98, 5,343.91 and 1,098.14

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Solution

The fourth proportional to 3,563.98, 5,343.91 and 1,098.14 is: 1,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.98 : 5,343.91 = 1,098.14 : x
  2. Step 2: Convert to fraction form
    3,563.98/5,343.91 = 1,098.14/x
  3. Step 3: Cross multiply
    3,563.98x = 5,343.91 × 1,098.14
  4. Step 4: Simplify right side
    3,563.98x = 5,868,331.86
  5. Step 5: Solve for x
    x = 5,868,331.86/3,563.98
  6. Step 6: Final answer
    x = 1,646.57

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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.