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Finding the Fourth Proportional to 5,286.69, 7,296.08 and 2,929.05

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Solution

The fourth proportional to 5,286.69, 7,296.08 and 2,929.05 is: 4,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.69 : 7,296.08 = 2,929.05 : x
  2. Step 2: Convert to fraction form
    5,286.69/7,296.08 = 2,929.05/x
  3. Step 3: Cross multiply
    5,286.69x = 7,296.08 × 2,929.05
  4. Step 4: Simplify right side
    5,286.69x = 21,370,583.12
  5. Step 5: Solve for x
    x = 21,370,583.12/5,286.69
  6. Step 6: Final answer
    x = 4,042.34

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