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Finding the Fourth Proportional to 3,606, 4,974.56 and 2,558.64

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Solution

The fourth proportional to 3,606, 4,974.56 and 2,558.64 is: 3,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606 : 4,974.56 = 2,558.64 : x
  2. Step 2: Convert to fraction form
    3,606/4,974.56 = 2,558.64/x
  3. Step 3: Cross multiply
    3,606x = 4,974.56 × 2,558.64
  4. Step 4: Simplify right side
    3,606x = 12,728,108.20
  5. Step 5: Solve for x
    x = 12,728,108.20/3,606
  6. Step 6: Final answer
    x = 3,529.70

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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.