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Finding the Fourth Proportional to 5,646.72, 7,795.20 and 3,761.44

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Solution

The fourth proportional to 5,646.72, 7,795.20 and 3,761.44 is: 5,192.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.72 : 7,795.20 = 3,761.44 : x
  2. Step 2: Convert to fraction form
    5,646.72/7,795.20 = 3,761.44/x
  3. Step 3: Cross multiply
    5,646.72x = 7,795.20 × 3,761.44
  4. Step 4: Simplify right side
    5,646.72x = 29,321,177.09
  5. Step 5: Solve for x
    x = 29,321,177.09/5,646.72
  6. Step 6: Final answer
    x = 5,192.60

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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.