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Finding the Fourth Proportional to 4,043.66, 6,068.75 and 2,096.42

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Solution

The fourth proportional to 4,043.66, 6,068.75 and 2,096.42 is: 3,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,043.66 : 6,068.75 = 2,096.42 : x
  2. Step 2: Convert to fraction form
    4,043.66/6,068.75 = 2,096.42/x
  3. Step 3: Cross multiply
    4,043.66x = 6,068.75 × 2,096.42
  4. Step 4: Simplify right side
    4,043.66x = 12,722,648.88
  5. Step 5: Solve for x
    x = 12,722,648.88/4,043.66
  6. Step 6: Final answer
    x = 3,146.32

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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.