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Finding the Fourth Proportional to 4,967.62, 7,449.78 and 2,005.29

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Solution

The fourth proportional to 4,967.62, 7,449.78 and 2,005.29 is: 3,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.62 : 7,449.78 = 2,005.29 : x
  2. Step 2: Convert to fraction form
    4,967.62/7,449.78 = 2,005.29/x
  3. Step 3: Cross multiply
    4,967.62x = 7,449.78 × 2,005.29
  4. Step 4: Simplify right side
    4,967.62x = 14,938,977.93
  5. Step 5: Solve for x
    x = 14,938,977.93/4,967.62
  6. Step 6: Final answer
    x = 3,007.27

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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.