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Finding the Fourth Proportional to 6,460.00, 8,912.57 and 3,626.98

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Solution

The fourth proportional to 6,460.00, 8,912.57 and 3,626.98 is: 5,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.00 : 8,912.57 = 3,626.98 : x
  2. Step 2: Convert to fraction form
    6,460.00/8,912.57 = 3,626.98/x
  3. Step 3: Cross multiply
    6,460.00x = 8,912.57 × 3,626.98
  4. Step 4: Simplify right side
    6,460.00x = 32,325,672.72
  5. Step 5: Solve for x
    x = 32,325,672.72/6,460.00
  6. Step 6: Final answer
    x = 5,003.98

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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.