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Finding the Fourth Proportional to 5,287.62, 7,297.14 and 2,929.75

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Solution

The fourth proportional to 5,287.62, 7,297.14 and 2,929.75 is: 4,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.62 : 7,297.14 = 2,929.75 : x
  2. Step 2: Convert to fraction form
    5,287.62/7,297.14 = 2,929.75/x
  3. Step 3: Cross multiply
    5,287.62x = 7,297.14 × 2,929.75
  4. Step 4: Simplify right side
    5,287.62x = 21,378,795.92
  5. Step 5: Solve for x
    x = 21,378,795.92/5,287.62
  6. Step 6: Final answer
    x = 4,043.18

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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.