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Finding the Fourth Proportional to 4,606.84, 6,908.46 and 2,008

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Solution

The fourth proportional to 4,606.84, 6,908.46 and 2,008 is: 3,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.84 : 6,908.46 = 2,008 : x
  2. Step 2: Convert to fraction form
    4,606.84/6,908.46 = 2,008/x
  3. Step 3: Cross multiply
    4,606.84x = 6,908.46 × 2,008
  4. Step 4: Simplify right side
    4,606.84x = 13,872,187.68
  5. Step 5: Solve for x
    x = 13,872,187.68/4,606.84
  6. Step 6: Final answer
    x = 3,011.22

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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.