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Finding the Fourth Proportional to 4,120.80, 5,686.62 and 2,257.80

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Solution

The fourth proportional to 4,120.80, 5,686.62 and 2,257.80 is: 3,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.80 : 5,686.62 = 2,257.80 : x
  2. Step 2: Convert to fraction form
    4,120.80/5,686.62 = 2,257.80/x
  3. Step 3: Cross multiply
    4,120.80x = 5,686.62 × 2,257.80
  4. Step 4: Simplify right side
    4,120.80x = 12,839,250.64
  5. Step 5: Solve for x
    x = 12,839,250.64/4,120.80
  6. Step 6: Final answer
    x = 3,115.72

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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.