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Finding the Fourth Proportional to 4,833.88, 7,238.21 and 2,638.07

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Solution

The fourth proportional to 4,833.88, 7,238.21 and 2,638.07 is: 3,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.88 : 7,238.21 = 2,638.07 : x
  2. Step 2: Convert to fraction form
    4,833.88/7,238.21 = 2,638.07/x
  3. Step 3: Cross multiply
    4,833.88x = 7,238.21 × 2,638.07
  4. Step 4: Simplify right side
    4,833.88x = 19,094,891.46
  5. Step 5: Solve for x
    x = 19,094,891.46/4,833.88
  6. Step 6: Final answer
    x = 3,950.22

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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.