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Finding the Fourth Proportional to 4,305.96, 6,458.74 and 1,185.94

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Solution

The fourth proportional to 4,305.96, 6,458.74 and 1,185.94 is: 1,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.96 : 6,458.74 = 1,185.94 : x
  2. Step 2: Convert to fraction form
    4,305.96/6,458.74 = 1,185.94/x
  3. Step 3: Cross multiply
    4,305.96x = 6,458.74 × 1,185.94
  4. Step 4: Simplify right side
    4,305.96x = 7,659,683.22
  5. Step 5: Solve for x
    x = 7,659,683.22/4,305.96
  6. Step 6: Final answer
    x = 1,778.86

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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.