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Finding the Fourth Proportional to 4,634.61, 6,952.99 and 1,514.76

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Solution

The fourth proportional to 4,634.61, 6,952.99 and 1,514.76 is: 2,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.61 : 6,952.99 = 1,514.76 : x
  2. Step 2: Convert to fraction form
    4,634.61/6,952.99 = 1,514.76/x
  3. Step 3: Cross multiply
    4,634.61x = 6,952.99 × 1,514.76
  4. Step 4: Simplify right side
    4,634.61x = 10,532,076.37
  5. Step 5: Solve for x
    x = 10,532,076.37/4,634.61
  6. Step 6: Final answer
    x = 2,272.49

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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.