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Finding the Fourth Proportional to 4,764.78, 6,575.04 and 2,668.50

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Solution

The fourth proportional to 4,764.78, 6,575.04 and 2,668.50 is: 3,682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.78 : 6,575.04 = 2,668.50 : x
  2. Step 2: Convert to fraction form
    4,764.78/6,575.04 = 2,668.50/x
  3. Step 3: Cross multiply
    4,764.78x = 6,575.04 × 2,668.50
  4. Step 4: Simplify right side
    4,764.78x = 17,545,494.24
  5. Step 5: Solve for x
    x = 17,545,494.24/4,764.78
  6. Step 6: Final answer
    x = 3,682.33

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