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Finding the Fourth Proportional to 4,634.48, 6,952.80 and 1,514.63

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Solution

The fourth proportional to 4,634.48, 6,952.80 and 1,514.63 is: 2,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.48 : 6,952.80 = 1,514.63 : x
  2. Step 2: Convert to fraction form
    4,634.48/6,952.80 = 1,514.63/x
  3. Step 3: Cross multiply
    4,634.48x = 6,952.80 × 1,514.63
  4. Step 4: Simplify right side
    4,634.48x = 10,530,919.46
  5. Step 5: Solve for x
    x = 10,530,919.46/4,634.48
  6. Step 6: Final answer
    x = 2,272.30

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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.