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Finding the Fourth Proportional to 4,113, 5,676.03 and 2,250

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Solution

The fourth proportional to 4,113, 5,676.03 and 2,250 is: 3,105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113 : 5,676.03 = 2,250 : x
  2. Step 2: Convert to fraction form
    4,113/5,676.03 = 2,250/x
  3. Step 3: Cross multiply
    4,113x = 5,676.03 × 2,250
  4. Step 4: Simplify right side
    4,113x = 12,771,067.50
  5. Step 5: Solve for x
    x = 12,771,067.50/4,113
  6. Step 6: Final answer
    x = 3,105.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.