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Finding the Fourth Proportional to 5,214.64, 7,819.62 and 3,107.26

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Solution

The fourth proportional to 5,214.64, 7,819.62 and 3,107.26 is: 4,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.64 : 7,819.62 = 3,107.26 : x
  2. Step 2: Convert to fraction form
    5,214.64/7,819.62 = 3,107.26/x
  3. Step 3: Cross multiply
    5,214.64x = 7,819.62 × 3,107.26
  4. Step 4: Simplify right side
    5,214.64x = 24,297,564.06
  5. Step 5: Solve for x
    x = 24,297,564.06/5,214.64
  6. Step 6: Final answer
    x = 4,659.49

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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.