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Finding the Fourth Proportional to 4,612.87, 6,354.64 and 3,668.37

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Solution

The fourth proportional to 4,612.87, 6,354.64 and 3,668.37 is: 5,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.87 : 6,354.64 = 3,668.37 : x
  2. Step 2: Convert to fraction form
    4,612.87/6,354.64 = 3,668.37/x
  3. Step 3: Cross multiply
    4,612.87x = 6,354.64 × 3,668.37
  4. Step 4: Simplify right side
    4,612.87x = 23,311,170.74
  5. Step 5: Solve for x
    x = 23,311,170.74/4,612.87
  6. Step 6: Final answer
    x = 5,053.51

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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.