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Finding the Fourth Proportional to 3,668.81, 5,504.03 and 1,071.95

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Solution

The fourth proportional to 3,668.81, 5,504.03 and 1,071.95 is: 1,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.81 : 5,504.03 = 1,071.95 : x
  2. Step 2: Convert to fraction form
    3,668.81/5,504.03 = 1,071.95/x
  3. Step 3: Cross multiply
    3,668.81x = 5,504.03 × 1,071.95
  4. Step 4: Simplify right side
    3,668.81x = 5,900,012.08
  5. Step 5: Solve for x
    x = 5,900,012.08/3,668.81
  6. Step 6: Final answer
    x = 1,608.16

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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.