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Finding the Fourth Proportional to 4,774.41, 7,161.81 and 1,311.66

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Solution

The fourth proportional to 4,774.41, 7,161.81 and 1,311.66 is: 1,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.41 : 7,161.81 = 1,311.66 : x
  2. Step 2: Convert to fraction form
    4,774.41/7,161.81 = 1,311.66/x
  3. Step 3: Cross multiply
    4,774.41x = 7,161.81 × 1,311.66
  4. Step 4: Simplify right side
    4,774.41x = 9,393,859.70
  5. Step 5: Solve for x
    x = 9,393,859.70/4,774.41
  6. Step 6: Final answer
    x = 1,967.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.