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Finding the Fourth Proportional to 3,777.12, 5,663.73 and 1,695.34

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Solution

The fourth proportional to 3,777.12, 5,663.73 and 1,695.34 is: 2,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.12 : 5,663.73 = 1,695.34 : x
  2. Step 2: Convert to fraction form
    3,777.12/5,663.73 = 1,695.34/x
  3. Step 3: Cross multiply
    3,777.12x = 5,663.73 × 1,695.34
  4. Step 4: Simplify right side
    3,777.12x = 9,601,959.50
  5. Step 5: Solve for x
    x = 9,601,959.50/3,777.12
  6. Step 6: Final answer
    x = 2,542.14

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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.