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Finding the Fourth Proportional to 5,286.78, 7,295.95 and 2,929.14

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Solution

The fourth proportional to 5,286.78, 7,295.95 and 2,929.14 is: 4,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.78 : 7,295.95 = 2,929.14 : x
  2. Step 2: Convert to fraction form
    5,286.78/7,295.95 = 2,929.14/x
  3. Step 3: Cross multiply
    5,286.78x = 7,295.95 × 2,929.14
  4. Step 4: Simplify right side
    5,286.78x = 21,370,858.98
  5. Step 5: Solve for x
    x = 21,370,858.98/5,286.78
  6. Step 6: Final answer
    x = 4,042.32

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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.