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Finding the Fourth Proportional to 4,634.62, 6,949.65 and 1,514.04

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Solution

The fourth proportional to 4,634.62, 6,949.65 and 1,514.04 is: 2,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.62 : 6,949.65 = 1,514.04 : x
  2. Step 2: Convert to fraction form
    4,634.62/6,949.65 = 1,514.04/x
  3. Step 3: Cross multiply
    4,634.62x = 6,949.65 × 1,514.04
  4. Step 4: Simplify right side
    4,634.62x = 10,522,058.28
  5. Step 5: Solve for x
    x = 10,522,058.28/4,634.62
  6. Step 6: Final answer
    x = 2,270.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.