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Finding the Fourth Proportional to 3,754.96, 5,634.56 and 1,563.10

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Solution

The fourth proportional to 3,754.96, 5,634.56 and 1,563.10 is: 2,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.96 : 5,634.56 = 1,563.10 : x
  2. Step 2: Convert to fraction form
    3,754.96/5,634.56 = 1,563.10/x
  3. Step 3: Cross multiply
    3,754.96x = 5,634.56 × 1,563.10
  4. Step 4: Simplify right side
    3,754.96x = 8,807,370.56
  5. Step 5: Solve for x
    x = 8,807,370.56/3,754.96
  6. Step 6: Final answer
    x = 2,345.53

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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.