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Finding the Fourth Proportional to 4,634.78, 6,952.24 and 1,514.76

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Solution

The fourth proportional to 4,634.78, 6,952.24 and 1,514.76 is: 2,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.78 : 6,952.24 = 1,514.76 : x
  2. Step 2: Convert to fraction form
    4,634.78/6,952.24 = 1,514.76/x
  3. Step 3: Cross multiply
    4,634.78x = 6,952.24 × 1,514.76
  4. Step 4: Simplify right side
    4,634.78x = 10,530,975.06
  5. Step 5: Solve for x
    x = 10,530,975.06/4,634.78
  6. Step 6: Final answer
    x = 2,272.16

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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.