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Finding the Fourth Proportional to 4,514.07, 6,770.40 and 1,591.69

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Solution

The fourth proportional to 4,514.07, 6,770.40 and 1,591.69 is: 2,387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.07 : 6,770.40 = 1,591.69 : x
  2. Step 2: Convert to fraction form
    4,514.07/6,770.40 = 1,591.69/x
  3. Step 3: Cross multiply
    4,514.07x = 6,770.40 × 1,591.69
  4. Step 4: Simplify right side
    4,514.07x = 10,776,377.98
  5. Step 5: Solve for x
    x = 10,776,377.98/4,514.07
  6. Step 6: Final answer
    x = 2,387.29

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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.