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Finding the Fourth Proportional to 4,196.56, 6,286.20 and 2,461

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Solution

The fourth proportional to 4,196.56, 6,286.20 and 2,461 is: 3,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.56 : 6,286.20 = 2,461 : x
  2. Step 2: Convert to fraction form
    4,196.56/6,286.20 = 2,461/x
  3. Step 3: Cross multiply
    4,196.56x = 6,286.20 × 2,461
  4. Step 4: Simplify right side
    4,196.56x = 15,470,338.20
  5. Step 5: Solve for x
    x = 15,470,338.20/4,196.56
  6. Step 6: Final answer
    x = 3,686.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.