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Finding the Fourth Proportional to 5,180.64, 7,716.41 and 5,072.64

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Solution

The fourth proportional to 5,180.64, 7,716.41 and 5,072.64 is: 7,555.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.64 : 7,716.41 = 5,072.64 : x
  2. Step 2: Convert to fraction form
    5,180.64/7,716.41 = 5,072.64/x
  3. Step 3: Cross multiply
    5,180.64x = 7,716.41 × 5,072.64
  4. Step 4: Simplify right side
    5,180.64x = 39,142,544.66
  5. Step 5: Solve for x
    x = 39,142,544.66/5,180.64
  6. Step 6: Final answer
    x = 7,555.54

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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.