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Finding the Fourth Proportional to 3,553.21, 5,349.01 and 3,196

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Solution

The fourth proportional to 3,553.21, 5,349.01 and 3,196 is: 4,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.21 : 5,349.01 = 3,196 : x
  2. Step 2: Convert to fraction form
    3,553.21/5,349.01 = 3,196/x
  3. Step 3: Cross multiply
    3,553.21x = 5,349.01 × 3,196
  4. Step 4: Simplify right side
    3,553.21x = 17,095,435.96
  5. Step 5: Solve for x
    x = 17,095,435.96/3,553.21
  6. Step 6: Final answer
    x = 4,811.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.