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Finding the Fourth Proportional to 3,754.41, 5,632.22 and 1,563.22

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Solution

The fourth proportional to 3,754.41, 5,632.22 and 1,563.22 is: 2,345.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.41 : 5,632.22 = 1,563.22 : x
  2. Step 2: Convert to fraction form
    3,754.41/5,632.22 = 1,563.22/x
  3. Step 3: Cross multiply
    3,754.41x = 5,632.22 × 1,563.22
  4. Step 4: Simplify right side
    3,754.41x = 8,804,398.95
  5. Step 5: Solve for x
    x = 8,804,398.95/3,754.41
  6. Step 6: Final answer
    x = 2,345.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.