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Finding the Fourth Proportional to 3,846.60, 5,774.76 and 3,676.50

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Solution

The fourth proportional to 3,846.60, 5,774.76 and 3,676.50 is: 5,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.60 : 5,774.76 = 3,676.50 : x
  2. Step 2: Convert to fraction form
    3,846.60/5,774.76 = 3,676.50/x
  3. Step 3: Cross multiply
    3,846.60x = 5,774.76 × 3,676.50
  4. Step 4: Simplify right side
    3,846.60x = 21,230,905.14
  5. Step 5: Solve for x
    x = 21,230,905.14/3,846.60
  6. Step 6: Final answer
    x = 5,519.40

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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.