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Finding the Fourth Proportional to 3,668.81, 5,502.06 and 1,203.06

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Solution

The fourth proportional to 3,668.81, 5,502.06 and 1,203.06 is: 1,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.81 : 5,502.06 = 1,203.06 : x
  2. Step 2: Convert to fraction form
    3,668.81/5,502.06 = 1,203.06/x
  3. Step 3: Cross multiply
    3,668.81x = 5,502.06 × 1,203.06
  4. Step 4: Simplify right side
    3,668.81x = 6,619,306.93
  5. Step 5: Solve for x
    x = 6,619,306.93/3,668.81
  6. Step 6: Final answer
    x = 1,804.21

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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.