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Finding the Fourth Proportional to 3,693.59, 5,091.17 and 3,213.81

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Solution

The fourth proportional to 3,693.59, 5,091.17 and 3,213.81 is: 4,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.59 : 5,091.17 = 3,213.81 : x
  2. Step 2: Convert to fraction form
    3,693.59/5,091.17 = 3,213.81/x
  3. Step 3: Cross multiply
    3,693.59x = 5,091.17 × 3,213.81
  4. Step 4: Simplify right side
    3,693.59x = 16,362,036.99
  5. Step 5: Solve for x
    x = 16,362,036.99/3,693.59
  6. Step 6: Final answer
    x = 4,429.85

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1.5x scale

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.