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Finding the Fourth Proportional to 3,775.72, 5,663.76 and 1,693.48

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Solution

The fourth proportional to 3,775.72, 5,663.76 and 1,693.48 is: 2,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.72 : 5,663.76 = 1,693.48 : x
  2. Step 2: Convert to fraction form
    3,775.72/5,663.76 = 1,693.48/x
  3. Step 3: Cross multiply
    3,775.72x = 5,663.76 × 1,693.48
  4. Step 4: Simplify right side
    3,775.72x = 9,591,464.28
  5. Step 5: Solve for x
    x = 9,591,464.28/3,775.72
  6. Step 6: Final answer
    x = 2,540.30

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1.5x scale

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.