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Finding the Fourth Proportional to 4,676.74, 7,014.78 and 2,486.70

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Solution

The fourth proportional to 4,676.74, 7,014.78 and 2,486.70 is: 3,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.74 : 7,014.78 = 2,486.70 : x
  2. Step 2: Convert to fraction form
    4,676.74/7,014.78 = 2,486.70/x
  3. Step 3: Cross multiply
    4,676.74x = 7,014.78 × 2,486.70
  4. Step 4: Simplify right side
    4,676.74x = 17,443,653.43
  5. Step 5: Solve for x
    x = 17,443,653.43/4,676.74
  6. Step 6: Final answer
    x = 3,729.88

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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.