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Finding the Fourth Proportional to 3,982.40, 5,490.54 and 2,563.54

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Solution

The fourth proportional to 3,982.40, 5,490.54 and 2,563.54 is: 3,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.40 : 5,490.54 = 2,563.54 : x
  2. Step 2: Convert to fraction form
    3,982.40/5,490.54 = 2,563.54/x
  3. Step 3: Cross multiply
    3,982.40x = 5,490.54 × 2,563.54
  4. Step 4: Simplify right side
    3,982.40x = 14,075,218.91
  5. Step 5: Solve for x
    x = 14,075,218.91/3,982.40
  6. Step 6: Final answer
    x = 3,534.36

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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.