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Finding the Fourth Proportional to 4,792.72, 6,614 and 2,668.28

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Solution

The fourth proportional to 4,792.72, 6,614 and 2,668.28 is: 3,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.72 : 6,614 = 2,668.28 : x
  2. Step 2: Convert to fraction form
    4,792.72/6,614 = 2,668.28/x
  3. Step 3: Cross multiply
    4,792.72x = 6,614 × 2,668.28
  4. Step 4: Simplify right side
    4,792.72x = 17,648,003.92
  5. Step 5: Solve for x
    x = 17,648,003.92/4,792.72
  6. Step 6: Final answer
    x = 3,682.25

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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.