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Finding the Fourth Proportional to 6,490.56, 8,954.52 and 3,694.56

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Solution

The fourth proportional to 6,490.56, 8,954.52 and 3,694.56 is: 5,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.56 : 8,954.52 = 3,694.56 : x
  2. Step 2: Convert to fraction form
    6,490.56/8,954.52 = 3,694.56/x
  3. Step 3: Cross multiply
    6,490.56x = 8,954.52 × 3,694.56
  4. Step 4: Simplify right side
    6,490.56x = 33,083,011.41
  5. Step 5: Solve for x
    x = 33,083,011.41/6,490.56
  6. Step 6: Final answer
    x = 5,097.10

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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.