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Finding the Fourth Proportional to 3,774, 5,661.64 and 1,176.42

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Solution

The fourth proportional to 3,774, 5,661.64 and 1,176.42 is: 1,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774 : 5,661.64 = 1,176.42 : x
  2. Step 2: Convert to fraction form
    3,774/5,661.64 = 1,176.42/x
  3. Step 3: Cross multiply
    3,774x = 5,661.64 × 1,176.42
  4. Step 4: Simplify right side
    3,774x = 6,660,466.53
  5. Step 5: Solve for x
    x = 6,660,466.53/3,774
  6. Step 6: Final answer
    x = 1,764.83

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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.