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Finding the Fourth Proportional to 4,105.71, 5,665.86 and 2,242.71

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Solution

The fourth proportional to 4,105.71, 5,665.86 and 2,242.71 is: 3,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.71 : 5,665.86 = 2,242.71 : x
  2. Step 2: Convert to fraction form
    4,105.71/5,665.86 = 2,242.71/x
  3. Step 3: Cross multiply
    4,105.71x = 5,665.86 × 2,242.71
  4. Step 4: Simplify right side
    4,105.71x = 12,706,880.88
  5. Step 5: Solve for x
    x = 12,706,880.88/4,105.71
  6. Step 6: Final answer
    x = 3,094.93

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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.