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Finding the Fourth Proportional to 3,512.80, 5,261.10 and 2,411.20

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Solution

The fourth proportional to 3,512.80, 5,261.10 and 2,411.20 is: 3,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.80 : 5,261.10 = 2,411.20 : x
  2. Step 2: Convert to fraction form
    3,512.80/5,261.10 = 2,411.20/x
  3. Step 3: Cross multiply
    3,512.80x = 5,261.10 × 2,411.20
  4. Step 4: Simplify right side
    3,512.80x = 12,685,564.32
  5. Step 5: Solve for x
    x = 12,685,564.32/3,512.80
  6. Step 6: Final answer
    x = 3,611.24

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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.