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Finding the Fourth Proportional to 5,606.44, 7,736.79 and 3,248.80

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Solution

The fourth proportional to 5,606.44, 7,736.79 and 3,248.80 is: 4,483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.44 : 7,736.79 = 3,248.80 : x
  2. Step 2: Convert to fraction form
    5,606.44/7,736.79 = 3,248.80/x
  3. Step 3: Cross multiply
    5,606.44x = 7,736.79 × 3,248.80
  4. Step 4: Simplify right side
    5,606.44x = 25,135,283.35
  5. Step 5: Solve for x
    x = 25,135,283.35/5,606.44
  6. Step 6: Final answer
    x = 4,483.29

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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.