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Finding the Fourth Proportional to 4,914.44, 7,371.66 and 2,861

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Solution

The fourth proportional to 4,914.44, 7,371.66 and 2,861 is: 4,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.44 : 7,371.66 = 2,861 : x
  2. Step 2: Convert to fraction form
    4,914.44/7,371.66 = 2,861/x
  3. Step 3: Cross multiply
    4,914.44x = 7,371.66 × 2,861
  4. Step 4: Simplify right side
    4,914.44x = 21,090,319.26
  5. Step 5: Solve for x
    x = 21,090,319.26/4,914.44
  6. Step 6: Final answer
    x = 4,291.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.