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Finding the Fourth Proportional to 4,043.84, 6,066.16 and 2,096.48

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Solution

The fourth proportional to 4,043.84, 6,066.16 and 2,096.48 is: 3,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,043.84 : 6,066.16 = 2,096.48 : x
  2. Step 2: Convert to fraction form
    4,043.84/6,066.16 = 2,096.48/x
  3. Step 3: Cross multiply
    4,043.84x = 6,066.16 × 2,096.48
  4. Step 4: Simplify right side
    4,043.84x = 12,717,583.12
  5. Step 5: Solve for x
    x = 12,717,583.12/4,043.84
  6. Step 6: Final answer
    x = 3,144.93

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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.