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Finding the Fourth Proportional to 3,520.50, 4,856.04 and 2,261.13

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Solution

The fourth proportional to 3,520.50, 4,856.04 and 2,261.13 is: 3,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.50 : 4,856.04 = 2,261.13 : x
  2. Step 2: Convert to fraction form
    3,520.50/4,856.04 = 2,261.13/x
  3. Step 3: Cross multiply
    3,520.50x = 4,856.04 × 2,261.13
  4. Step 4: Simplify right side
    3,520.50x = 10,980,137.73
  5. Step 5: Solve for x
    x = 10,980,137.73/3,520.50
  6. Step 6: Final answer
    x = 3,118.91

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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.