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Finding the Fourth Proportional to 3,668.37, 5,498.70 and 1,202.55

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Solution

The fourth proportional to 3,668.37, 5,498.70 and 1,202.55 is: 1,802.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.37 : 5,498.70 = 1,202.55 : x
  2. Step 2: Convert to fraction form
    3,668.37/5,498.70 = 1,202.55/x
  3. Step 3: Cross multiply
    3,668.37x = 5,498.70 × 1,202.55
  4. Step 4: Simplify right side
    3,668.37x = 6,612,461.69
  5. Step 5: Solve for x
    x = 6,612,461.69/3,668.37
  6. Step 6: Final answer
    x = 1,802.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.