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Finding the Fourth Proportional to 3,813.41, 5,246.62 and 3,363.32

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Solution

The fourth proportional to 3,813.41, 5,246.62 and 3,363.32 is: 4,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.41 : 5,246.62 = 3,363.32 : x
  2. Step 2: Convert to fraction form
    3,813.41/5,246.62 = 3,363.32/x
  3. Step 3: Cross multiply
    3,813.41x = 5,246.62 × 3,363.32
  4. Step 4: Simplify right side
    3,813.41x = 17,646,027.34
  5. Step 5: Solve for x
    x = 17,646,027.34/3,813.41
  6. Step 6: Final answer
    x = 4,627.37

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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.