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Finding the Fourth Proportional to 3,883.48, 5,363.64 and 2,563.06

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Solution

The fourth proportional to 3,883.48, 5,363.64 and 2,563.06 is: 3,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.48 : 5,363.64 = 2,563.06 : x
  2. Step 2: Convert to fraction form
    3,883.48/5,363.64 = 2,563.06/x
  3. Step 3: Cross multiply
    3,883.48x = 5,363.64 × 2,563.06
  4. Step 4: Simplify right side
    3,883.48x = 13,747,331.14
  5. Step 5: Solve for x
    x = 13,747,331.14/3,883.48
  6. Step 6: Final answer
    x = 3,539.95

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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.