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Finding the Fourth Proportional to 4,676.70, 7,000.65 and 3,841.50

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Solution

The fourth proportional to 4,676.70, 7,000.65 and 3,841.50 is: 5,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.70 : 7,000.65 = 3,841.50 : x
  2. Step 2: Convert to fraction form
    4,676.70/7,000.65 = 3,841.50/x
  3. Step 3: Cross multiply
    4,676.70x = 7,000.65 × 3,841.50
  4. Step 4: Simplify right side
    4,676.70x = 26,892,996.98
  5. Step 5: Solve for x
    x = 26,892,996.98/4,676.70
  6. Step 6: Final answer
    x = 5,750.42

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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.