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Finding the Fourth Proportional to 5,286.94, 7,296.42 and 2,929.30

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Solution

The fourth proportional to 5,286.94, 7,296.42 and 2,929.30 is: 4,042.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.94 : 7,296.42 = 2,929.30 : x
  2. Step 2: Convert to fraction form
    5,286.94/7,296.42 = 2,929.30/x
  3. Step 3: Cross multiply
    5,286.94x = 7,296.42 × 2,929.30
  4. Step 4: Simplify right side
    5,286.94x = 21,373,403.11
  5. Step 5: Solve for x
    x = 21,373,403.11/5,286.94
  6. Step 6: Final answer
    x = 4,042.68

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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.