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Finding the Fourth Proportional to 4,617.27, 6,922.83 and 3,137.01

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Solution

The fourth proportional to 4,617.27, 6,922.83 and 3,137.01 is: 4,703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.27 : 6,922.83 = 3,137.01 : x
  2. Step 2: Convert to fraction form
    4,617.27/6,922.83 = 3,137.01/x
  3. Step 3: Cross multiply
    4,617.27x = 6,922.83 × 3,137.01
  4. Step 4: Simplify right side
    4,617.27x = 21,716,986.94
  5. Step 5: Solve for x
    x = 21,716,986.94/4,617.27
  6. Step 6: Final answer
    x = 4,703.43

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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.