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Finding the Fourth Proportional to 3,668.36, 5,502.87 and 1,475.89

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Solution

The fourth proportional to 3,668.36, 5,502.87 and 1,475.89 is: 2,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.36 : 5,502.87 = 1,475.89 : x
  2. Step 2: Convert to fraction form
    3,668.36/5,502.87 = 1,475.89/x
  3. Step 3: Cross multiply
    3,668.36x = 5,502.87 × 1,475.89
  4. Step 4: Simplify right side
    3,668.36x = 8,121,617.05
  5. Step 5: Solve for x
    x = 8,121,617.05/3,668.36
  6. Step 6: Final answer
    x = 2,213.97

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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.