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Finding the Fourth Proportional to 3,773.58, 5,662.32 and 1,695.03

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Solution

The fourth proportional to 3,773.58, 5,662.32 and 1,695.03 is: 2,543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.58 : 5,662.32 = 1,695.03 : x
  2. Step 2: Convert to fraction form
    3,773.58/5,662.32 = 1,695.03/x
  3. Step 3: Cross multiply
    3,773.58x = 5,662.32 × 1,695.03
  4. Step 4: Simplify right side
    3,773.58x = 9,597,793.79
  5. Step 5: Solve for x
    x = 9,597,793.79/3,773.58
  6. Step 6: Final answer
    x = 2,543.42

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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.