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Finding the Fourth Proportional to 3,797.73, 5,695.91 and 1,023.76

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Solution

The fourth proportional to 3,797.73, 5,695.91 and 1,023.76 is: 1,535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.73 : 5,695.91 = 1,023.76 : x
  2. Step 2: Convert to fraction form
    3,797.73/5,695.91 = 1,023.76/x
  3. Step 3: Cross multiply
    3,797.73x = 5,695.91 × 1,023.76
  4. Step 4: Simplify right side
    3,797.73x = 5,831,218.62
  5. Step 5: Solve for x
    x = 5,831,218.62/3,797.73
  6. Step 6: Final answer
    x = 1,535.45

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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.