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Finding the Fourth Proportional to 4,951.26, 7,424.99 and 1,830.53

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Solution

The fourth proportional to 4,951.26, 7,424.99 and 1,830.53 is: 2,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.26 : 7,424.99 = 1,830.53 : x
  2. Step 2: Convert to fraction form
    4,951.26/7,424.99 = 1,830.53/x
  3. Step 3: Cross multiply
    4,951.26x = 7,424.99 × 1,830.53
  4. Step 4: Simplify right side
    4,951.26x = 13,591,620.67
  5. Step 5: Solve for x
    x = 13,591,620.67/4,951.26
  6. Step 6: Final answer
    x = 2,745.08

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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.