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Finding the Fourth Proportional to 4,340.66, 6,512.82 and 2,261.20

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Solution

The fourth proportional to 4,340.66, 6,512.82 and 2,261.20 is: 3,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.66 : 6,512.82 = 2,261.20 : x
  2. Step 2: Convert to fraction form
    4,340.66/6,512.82 = 2,261.20/x
  3. Step 3: Cross multiply
    4,340.66x = 6,512.82 × 2,261.20
  4. Step 4: Simplify right side
    4,340.66x = 14,726,788.58
  5. Step 5: Solve for x
    x = 14,726,788.58/4,340.66
  6. Step 6: Final answer
    x = 3,392.75

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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.