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Finding the Fourth Proportional to 4,789.94, 7,185.51 and 1,830.20

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Solution

The fourth proportional to 4,789.94, 7,185.51 and 1,830.20 is: 2,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.94 : 7,185.51 = 1,830.20 : x
  2. Step 2: Convert to fraction form
    4,789.94/7,185.51 = 1,830.20/x
  3. Step 3: Cross multiply
    4,789.94x = 7,185.51 × 1,830.20
  4. Step 4: Simplify right side
    4,789.94x = 13,150,884.47
  5. Step 5: Solve for x
    x = 13,150,884.47/4,789.94
  6. Step 6: Final answer
    x = 2,745.52

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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.