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Finding the Fourth Proportional to 4,889.93, 7,302.17 and 3,838.12

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Solution

The fourth proportional to 4,889.93, 7,302.17 and 3,838.12 is: 5,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.93 : 7,302.17 = 3,838.12 : x
  2. Step 2: Convert to fraction form
    4,889.93/7,302.17 = 3,838.12/x
  3. Step 3: Cross multiply
    4,889.93x = 7,302.17 × 3,838.12
  4. Step 4: Simplify right side
    4,889.93x = 28,026,596.06
  5. Step 5: Solve for x
    x = 28,026,596.06/4,889.93
  6. Step 6: Final answer
    x = 5,731.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.