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Finding the Fourth Proportional to 3,668.36, 5,502.94 and 1,202.51

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Solution

The fourth proportional to 3,668.36, 5,502.94 and 1,202.51 is: 1,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.36 : 5,502.94 = 1,202.51 : x
  2. Step 2: Convert to fraction form
    3,668.36/5,502.94 = 1,202.51/x
  3. Step 3: Cross multiply
    3,668.36x = 5,502.94 × 1,202.51
  4. Step 4: Simplify right side
    3,668.36x = 6,617,351.13
  5. Step 5: Solve for x
    x = 6,617,351.13/3,668.36
  6. Step 6: Final answer
    x = 1,803.90

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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.