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Finding the Fourth Proportional to 4,766.64, 7,150.32 and 1,845.78

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Solution

The fourth proportional to 4,766.64, 7,150.32 and 1,845.78 is: 2,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.64 : 7,150.32 = 1,845.78 : x
  2. Step 2: Convert to fraction form
    4,766.64/7,150.32 = 1,845.78/x
  3. Step 3: Cross multiply
    4,766.64x = 7,150.32 × 1,845.78
  4. Step 4: Simplify right side
    4,766.64x = 13,197,917.65
  5. Step 5: Solve for x
    x = 13,197,917.65/4,766.64
  6. Step 6: Final answer
    x = 2,768.81

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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.