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Finding the Fourth Proportional to 3,777.53, 5,664.34 and 1,695.75

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Solution

The fourth proportional to 3,777.53, 5,664.34 and 1,695.75 is: 2,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.53 : 5,664.34 = 1,695.75 : x
  2. Step 2: Convert to fraction form
    3,777.53/5,664.34 = 1,695.75/x
  3. Step 3: Cross multiply
    3,777.53x = 5,664.34 × 1,695.75
  4. Step 4: Simplify right side
    3,777.53x = 9,605,280.47
  5. Step 5: Solve for x
    x = 9,605,280.47/3,777.53
  6. Step 6: Final answer
    x = 2,542.74

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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.