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Finding the Fourth Proportional to 4,634.52, 6,952.94 and 1,514.70

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Solution

The fourth proportional to 4,634.52, 6,952.94 and 1,514.70 is: 2,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.52 : 6,952.94 = 1,514.70 : x
  2. Step 2: Convert to fraction form
    4,634.52/6,952.94 = 1,514.70/x
  3. Step 3: Cross multiply
    4,634.52x = 6,952.94 × 1,514.70
  4. Step 4: Simplify right side
    4,634.52x = 10,531,610.64
  5. Step 5: Solve for x
    x = 10,531,610.64/4,634.52
  6. Step 6: Final answer
    x = 2,272.43

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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.