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Finding the Fourth Proportional to 4,747.36, 7,121.64 and 1,825.24

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Solution

The fourth proportional to 4,747.36, 7,121.64 and 1,825.24 is: 2,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.36 : 7,121.64 = 1,825.24 : x
  2. Step 2: Convert to fraction form
    4,747.36/7,121.64 = 1,825.24/x
  3. Step 3: Cross multiply
    4,747.36x = 7,121.64 × 1,825.24
  4. Step 4: Simplify right side
    4,747.36x = 12,998,702.19
  5. Step 5: Solve for x
    x = 12,998,702.19/4,747.36
  6. Step 6: Final answer
    x = 2,738.09

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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.