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Finding the Fourth Proportional to 5,466.11, 7,534.50 and 3,694.64

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Solution

The fourth proportional to 5,466.11, 7,534.50 and 3,694.64 is: 5,092.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.11 : 7,534.50 = 3,694.64 : x
  2. Step 2: Convert to fraction form
    5,466.11/7,534.50 = 3,694.64/x
  3. Step 3: Cross multiply
    5,466.11x = 7,534.50 × 3,694.64
  4. Step 4: Simplify right side
    5,466.11x = 27,837,265.08
  5. Step 5: Solve for x
    x = 27,837,265.08/5,466.11
  6. Step 6: Final answer
    x = 5,092.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.