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Finding the Fourth Proportional to 5,213.64, 7,786.36 and 4,175.22

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Solution

The fourth proportional to 5,213.64, 7,786.36 and 4,175.22 is: 6,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.64 : 7,786.36 = 4,175.22 : x
  2. Step 2: Convert to fraction form
    5,213.64/7,786.36 = 4,175.22/x
  3. Step 3: Cross multiply
    5,213.64x = 7,786.36 × 4,175.22
  4. Step 4: Simplify right side
    5,213.64x = 32,509,766.00
  5. Step 5: Solve for x
    x = 32,509,766.00/5,213.64
  6. Step 6: Final answer
    x = 6,235.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.