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Finding the Fourth Proportional to 3,747.53, 5,622.42 and 1,774.66

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Solution

The fourth proportional to 3,747.53, 5,622.42 and 1,774.66 is: 2,662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.53 : 5,622.42 = 1,774.66 : x
  2. Step 2: Convert to fraction form
    3,747.53/5,622.42 = 1,774.66/x
  3. Step 3: Cross multiply
    3,747.53x = 5,622.42 × 1,774.66
  4. Step 4: Simplify right side
    3,747.53x = 9,977,897.93
  5. Step 5: Solve for x
    x = 9,977,897.93/3,747.53
  6. Step 6: Final answer
    x = 2,662.53

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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.