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Finding the Fourth Proportional to 4,992.31, 6,889.80 and 2,754.46

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Solution

The fourth proportional to 4,992.31, 6,889.80 and 2,754.46 is: 3,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.31 : 6,889.80 = 2,754.46 : x
  2. Step 2: Convert to fraction form
    4,992.31/6,889.80 = 2,754.46/x
  3. Step 3: Cross multiply
    4,992.31x = 6,889.80 × 2,754.46
  4. Step 4: Simplify right side
    4,992.31x = 18,977,678.51
  5. Step 5: Solve for x
    x = 18,977,678.51/4,992.31
  6. Step 6: Final answer
    x = 3,801.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.