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Finding the Fourth Proportional to 5,606.78, 7,734.36 and 3,481.64

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Solution

The fourth proportional to 5,606.78, 7,734.36 and 3,481.64 is: 4,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.78 : 7,734.36 = 3,481.64 : x
  2. Step 2: Convert to fraction form
    5,606.78/7,734.36 = 3,481.64/x
  3. Step 3: Cross multiply
    5,606.78x = 7,734.36 × 3,481.64
  4. Step 4: Simplify right side
    5,606.78x = 26,928,257.15
  5. Step 5: Solve for x
    x = 26,928,257.15/5,606.78
  6. Step 6: Final answer
    x = 4,802.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.