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Finding the Fourth Proportional to 4,475.70, 6,715.85 and 1,845.23

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Solution

The fourth proportional to 4,475.70, 6,715.85 and 1,845.23 is: 2,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475.70 : 6,715.85 = 1,845.23 : x
  2. Step 2: Convert to fraction form
    4,475.70/6,715.85 = 1,845.23/x
  3. Step 3: Cross multiply
    4,475.70x = 6,715.85 × 1,845.23
  4. Step 4: Simplify right side
    4,475.70x = 12,392,245.09
  5. Step 5: Solve for x
    x = 12,392,245.09/4,475.70
  6. Step 6: Final answer
    x = 2,768.78

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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.