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Finding the Fourth Proportional to 5,164.60, 7,745.28 and 2,974.36

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Solution

The fourth proportional to 5,164.60, 7,745.28 and 2,974.36 is: 4,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.60 : 7,745.28 = 2,974.36 : x
  2. Step 2: Convert to fraction form
    5,164.60/7,745.28 = 2,974.36/x
  3. Step 3: Cross multiply
    5,164.60x = 7,745.28 × 2,974.36
  4. Step 4: Simplify right side
    5,164.60x = 23,037,251.02
  5. Step 5: Solve for x
    x = 23,037,251.02/5,164.60
  6. Step 6: Final answer
    x = 4,460.61

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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.