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Finding the Fourth Proportional to 4,668.24, 7,001.40 and 2,201.68

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Solution

The fourth proportional to 4,668.24, 7,001.40 and 2,201.68 is: 3,302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.24 : 7,001.40 = 2,201.68 : x
  2. Step 2: Convert to fraction form
    4,668.24/7,001.40 = 2,201.68/x
  3. Step 3: Cross multiply
    4,668.24x = 7,001.40 × 2,201.68
  4. Step 4: Simplify right side
    4,668.24x = 15,414,842.35
  5. Step 5: Solve for x
    x = 15,414,842.35/4,668.24
  6. Step 6: Final answer
    x = 3,302.07

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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.