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Finding the Fourth Proportional to 6,274.36, 8,660.52 and 3,623.68

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Solution

The fourth proportional to 6,274.36, 8,660.52 and 3,623.68 is: 5,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.36 : 8,660.52 = 3,623.68 : x
  2. Step 2: Convert to fraction form
    6,274.36/8,660.52 = 3,623.68/x
  3. Step 3: Cross multiply
    6,274.36x = 8,660.52 × 3,623.68
  4. Step 4: Simplify right side
    6,274.36x = 31,382,953.11
  5. Step 5: Solve for x
    x = 31,382,953.11/6,274.36
  6. Step 6: Final answer
    x = 5,001.78

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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.