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Finding the Fourth Proportional to 4,305.96, 6,458.67 and 2,225.34

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Solution

The fourth proportional to 4,305.96, 6,458.67 and 2,225.34 is: 3,337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.96 : 6,458.67 = 2,225.34 : x
  2. Step 2: Convert to fraction form
    4,305.96/6,458.67 = 2,225.34/x
  3. Step 3: Cross multiply
    4,305.96x = 6,458.67 × 2,225.34
  4. Step 4: Simplify right side
    4,305.96x = 14,372,736.70
  5. Step 5: Solve for x
    x = 14,372,736.70/4,305.96
  6. Step 6: Final answer
    x = 3,337.87

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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.