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Finding the Fourth Proportional to 5,231.60, 7,845.16 and 1,767.28

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Solution

The fourth proportional to 5,231.60, 7,845.16 and 1,767.28 is: 2,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.60 : 7,845.16 = 1,767.28 : x
  2. Step 2: Convert to fraction form
    5,231.60/7,845.16 = 1,767.28/x
  3. Step 3: Cross multiply
    5,231.60x = 7,845.16 × 1,767.28
  4. Step 4: Simplify right side
    5,231.60x = 13,864,594.36
  5. Step 5: Solve for x
    x = 13,864,594.36/5,231.60
  6. Step 6: Final answer
    x = 2,650.16

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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.