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Finding the Fourth Proportional to 3,645.84, 5,493.15 and 3,299.58

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Solution

The fourth proportional to 3,645.84, 5,493.15 and 3,299.58 is: 4,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.84 : 5,493.15 = 3,299.58 : x
  2. Step 2: Convert to fraction form
    3,645.84/5,493.15 = 3,299.58/x
  3. Step 3: Cross multiply
    3,645.84x = 5,493.15 × 3,299.58
  4. Step 4: Simplify right side
    3,645.84x = 18,125,087.88
  5. Step 5: Solve for x
    x = 18,125,087.88/3,645.84
  6. Step 6: Final answer
    x = 4,971.44

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1.5x scale

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.