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Finding the Fourth Proportional to 4,761.66, 7,141.86 and 1,474.50

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Solution

The fourth proportional to 4,761.66, 7,141.86 and 1,474.50 is: 2,211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.66 : 7,141.86 = 1,474.50 : x
  2. Step 2: Convert to fraction form
    4,761.66/7,141.86 = 1,474.50/x
  3. Step 3: Cross multiply
    4,761.66x = 7,141.86 × 1,474.50
  4. Step 4: Simplify right side
    4,761.66x = 10,530,672.57
  5. Step 5: Solve for x
    x = 10,530,672.57/4,761.66
  6. Step 6: Final answer
    x = 2,211.55

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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.