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Finding the Fourth Proportional to 3,668.46, 5,504.06 and 1,477.81

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Solution

The fourth proportional to 3,668.46, 5,504.06 and 1,477.81 is: 2,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.46 : 5,504.06 = 1,477.81 : x
  2. Step 2: Convert to fraction form
    3,668.46/5,504.06 = 1,477.81/x
  3. Step 3: Cross multiply
    3,668.46x = 5,504.06 × 1,477.81
  4. Step 4: Simplify right side
    3,668.46x = 8,133,954.91
  5. Step 5: Solve for x
    x = 8,133,954.91/3,668.46
  6. Step 6: Final answer
    x = 2,217.27

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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.