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Finding the Fourth Proportional to 3,668.12, 5,503.06 and 1,359.64

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Solution

The fourth proportional to 3,668.12, 5,503.06 and 1,359.64 is: 2,039.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.12 : 5,503.06 = 1,359.64 : x
  2. Step 2: Convert to fraction form
    3,668.12/5,503.06 = 1,359.64/x
  3. Step 3: Cross multiply
    3,668.12x = 5,503.06 × 1,359.64
  4. Step 4: Simplify right side
    3,668.12x = 7,482,180.50
  5. Step 5: Solve for x
    x = 7,482,180.50/3,668.12
  6. Step 6: Final answer
    x = 2,039.79

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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.