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Finding the Fourth Proportional to 3,676.60, 5,497.62 and 2,749.24

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Solution

The fourth proportional to 3,676.60, 5,497.62 and 2,749.24 is: 4,110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.60 : 5,497.62 = 2,749.24 : x
  2. Step 2: Convert to fraction form
    3,676.60/5,497.62 = 2,749.24/x
  3. Step 3: Cross multiply
    3,676.60x = 5,497.62 × 2,749.24
  4. Step 4: Simplify right side
    3,676.60x = 15,114,276.81
  5. Step 5: Solve for x
    x = 15,114,276.81/3,676.60
  6. Step 6: Final answer
    x = 4,110.94

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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.