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Finding the Fourth Proportional to 5,926.54, 8,889.45 and 2,463.82

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Solution

The fourth proportional to 5,926.54, 8,889.45 and 2,463.82 is: 3,695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.54 : 8,889.45 = 2,463.82 : x
  2. Step 2: Convert to fraction form
    5,926.54/8,889.45 = 2,463.82/x
  3. Step 3: Cross multiply
    5,926.54x = 8,889.45 × 2,463.82
  4. Step 4: Simplify right side
    5,926.54x = 21,902,004.70
  5. Step 5: Solve for x
    x = 21,902,004.70/5,926.54
  6. Step 6: Final answer
    x = 3,695.58

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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.