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Finding the Fourth Proportional to 3,777.36, 5,668.56 and 2,953.68

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Solution

The fourth proportional to 3,777.36, 5,668.56 and 2,953.68 is: 4,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.36 : 5,668.56 = 2,953.68 : x
  2. Step 2: Convert to fraction form
    3,777.36/5,668.56 = 2,953.68/x
  3. Step 3: Cross multiply
    3,777.36x = 5,668.56 × 2,953.68
  4. Step 4: Simplify right side
    3,777.36x = 16,743,112.30
  5. Step 5: Solve for x
    x = 16,743,112.30/3,777.36
  6. Step 6: Final answer
    x = 4,432.49

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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.