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Finding the Fourth Proportional to 4,764.66, 6,575.23 and 2,668.78

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Solution

The fourth proportional to 4,764.66, 6,575.23 and 2,668.78 is: 3,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.66 : 6,575.23 = 2,668.78 : x
  2. Step 2: Convert to fraction form
    4,764.66/6,575.23 = 2,668.78/x
  3. Step 3: Cross multiply
    4,764.66x = 6,575.23 × 2,668.78
  4. Step 4: Simplify right side
    4,764.66x = 17,547,838.86
  5. Step 5: Solve for x
    x = 17,547,838.86/4,764.66
  6. Step 6: Final answer
    x = 3,682.92

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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.