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Finding the Fourth Proportional to 4,044.96, 6,065.10 and 2,096.64

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Solution

The fourth proportional to 4,044.96, 6,065.10 and 2,096.64 is: 3,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044.96 : 6,065.10 = 2,096.64 : x
  2. Step 2: Convert to fraction form
    4,044.96/6,065.10 = 2,096.64/x
  3. Step 3: Cross multiply
    4,044.96x = 6,065.10 × 2,096.64
  4. Step 4: Simplify right side
    4,044.96x = 12,716,331.26
  5. Step 5: Solve for x
    x = 12,716,331.26/4,044.96
  6. Step 6: Final answer
    x = 3,143.75

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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.