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Finding the Fourth Proportional to 4,662.60, 6,983.91 and 2,908.14

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Solution

The fourth proportional to 4,662.60, 6,983.91 and 2,908.14 is: 4,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.60 : 6,983.91 = 2,908.14 : x
  2. Step 2: Convert to fraction form
    4,662.60/6,983.91 = 2,908.14/x
  3. Step 3: Cross multiply
    4,662.60x = 6,983.91 × 2,908.14
  4. Step 4: Simplify right side
    4,662.60x = 20,310,188.03
  5. Step 5: Solve for x
    x = 20,310,188.03/4,662.60
  6. Step 6: Final answer
    x = 4,355.98

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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.