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Finding the Fourth Proportional to 3,693.66, 5,523.93 and 3,349.14

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Solution

The fourth proportional to 3,693.66, 5,523.93 and 3,349.14 is: 5,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.66 : 5,523.93 = 3,349.14 : x
  2. Step 2: Convert to fraction form
    3,693.66/5,523.93 = 3,349.14/x
  3. Step 3: Cross multiply
    3,693.66x = 5,523.93 × 3,349.14
  4. Step 4: Simplify right side
    3,693.66x = 18,500,414.92
  5. Step 5: Solve for x
    x = 18,500,414.92/3,693.66
  6. Step 6: Final answer
    x = 5,008.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.