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Finding the Fourth Proportional to 4,193.48, 6,310.74 and 3,790.64

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Solution

The fourth proportional to 4,193.48, 6,310.74 and 3,790.64 is: 5,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.48 : 6,310.74 = 3,790.64 : x
  2. Step 2: Convert to fraction form
    4,193.48/6,310.74 = 3,790.64/x
  3. Step 3: Cross multiply
    4,193.48x = 6,310.74 × 3,790.64
  4. Step 4: Simplify right side
    4,193.48x = 23,921,743.47
  5. Step 5: Solve for x
    x = 23,921,743.47/4,193.48
  6. Step 6: Final answer
    x = 5,704.51

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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.