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Finding the Fourth Proportional to 4,165.94, 6,245.07 and 2,113.46

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Solution

The fourth proportional to 4,165.94, 6,245.07 and 2,113.46 is: 3,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.94 : 6,245.07 = 2,113.46 : x
  2. Step 2: Convert to fraction form
    4,165.94/6,245.07 = 2,113.46/x
  3. Step 3: Cross multiply
    4,165.94x = 6,245.07 × 2,113.46
  4. Step 4: Simplify right side
    4,165.94x = 13,198,705.64
  5. Step 5: Solve for x
    x = 13,198,705.64/4,165.94
  6. Step 6: Final answer
    x = 3,168.24

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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.