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Finding the Fourth Proportional to 4,921.72, 7,382.21 and 1,223.94

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Solution

The fourth proportional to 4,921.72, 7,382.21 and 1,223.94 is: 1,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.72 : 7,382.21 = 1,223.94 : x
  2. Step 2: Convert to fraction form
    4,921.72/7,382.21 = 1,223.94/x
  3. Step 3: Cross multiply
    4,921.72x = 7,382.21 × 1,223.94
  4. Step 4: Simplify right side
    4,921.72x = 9,035,390.68
  5. Step 5: Solve for x
    x = 9,035,390.68/4,921.72
  6. Step 6: Final answer
    x = 1,835.82

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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.