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Finding the Fourth Proportional to 4,282.29, 5,911.02 and 2,514.42

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Solution

The fourth proportional to 4,282.29, 5,911.02 and 2,514.42 is: 3,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.29 : 5,911.02 = 2,514.42 : x
  2. Step 2: Convert to fraction form
    4,282.29/5,911.02 = 2,514.42/x
  3. Step 3: Cross multiply
    4,282.29x = 5,911.02 × 2,514.42
  4. Step 4: Simplify right side
    4,282.29x = 14,862,786.91
  5. Step 5: Solve for x
    x = 14,862,786.91/4,282.29
  6. Step 6: Final answer
    x = 3,470.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.