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Finding the Fourth Proportional to 3,648.96, 5,029.83 and 3,206.10

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Solution

The fourth proportional to 3,648.96, 5,029.83 and 3,206.10 is: 4,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.96 : 5,029.83 = 3,206.10 : x
  2. Step 2: Convert to fraction form
    3,648.96/5,029.83 = 3,206.10/x
  3. Step 3: Cross multiply
    3,648.96x = 5,029.83 × 3,206.10
  4. Step 4: Simplify right side
    3,648.96x = 16,126,137.96
  5. Step 5: Solve for x
    x = 16,126,137.96/3,648.96
  6. Step 6: Final answer
    x = 4,419.38

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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.