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Finding the Fourth Proportional to 3,754.16, 5,631.44 and 1,563.11

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Solution

The fourth proportional to 3,754.16, 5,631.44 and 1,563.11 is: 2,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.16 : 5,631.44 = 1,563.11 : x
  2. Step 2: Convert to fraction form
    3,754.16/5,631.44 = 1,563.11/x
  3. Step 3: Cross multiply
    3,754.16x = 5,631.44 × 1,563.11
  4. Step 4: Simplify right side
    3,754.16x = 8,802,524.21
  5. Step 5: Solve for x
    x = 8,802,524.21/3,754.16
  6. Step 6: Final answer
    x = 2,344.74

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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.