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Finding the Fourth Proportional to 4,791.75, 7,188.29 and 1,505.10

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Solution

The fourth proportional to 4,791.75, 7,188.29 and 1,505.10 is: 2,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791.75 : 7,188.29 = 1,505.10 : x
  2. Step 2: Convert to fraction form
    4,791.75/7,188.29 = 1,505.10/x
  3. Step 3: Cross multiply
    4,791.75x = 7,188.29 × 1,505.10
  4. Step 4: Simplify right side
    4,791.75x = 10,819,095.28
  5. Step 5: Solve for x
    x = 10,819,095.28/4,791.75
  6. Step 6: Final answer
    x = 2,257.86

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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.