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Finding the Fourth Proportional to 3,563.74, 5,340.20 and 2,261.26

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Solution

The fourth proportional to 3,563.74, 5,340.20 and 2,261.26 is: 3,388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.74 : 5,340.20 = 2,261.26 : x
  2. Step 2: Convert to fraction form
    3,563.74/5,340.20 = 2,261.26/x
  3. Step 3: Cross multiply
    3,563.74x = 5,340.20 × 2,261.26
  4. Step 4: Simplify right side
    3,563.74x = 12,075,580.65
  5. Step 5: Solve for x
    x = 12,075,580.65/3,563.74
  6. Step 6: Final answer
    x = 3,388.46

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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.