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Finding the Fourth Proportional to 4,764.60, 6,575.13 and 2,668.68

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Solution

The fourth proportional to 4,764.60, 6,575.13 and 2,668.68 is: 3,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.60 : 6,575.13 = 2,668.68 : x
  2. Step 2: Convert to fraction form
    4,764.60/6,575.13 = 2,668.68/x
  3. Step 3: Cross multiply
    4,764.60x = 6,575.13 × 2,668.68
  4. Step 4: Simplify right side
    4,764.60x = 17,546,917.93
  5. Step 5: Solve for x
    x = 17,546,917.93/4,764.60
  6. Step 6: Final answer
    x = 3,682.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.