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Finding the Fourth Proportional to 3,023.75, 4,533.39 and 942.57

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Solution

The fourth proportional to 3,023.75, 4,533.39 and 942.57 is: 1,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.75 : 4,533.39 = 942.57 : x
  2. Step 2: Convert to fraction form
    3,023.75/4,533.39 = 942.57/x
  3. Step 3: Cross multiply
    3,023.75x = 4,533.39 × 942.57
  4. Step 4: Simplify right side
    3,023.75x = 4,273,037.41
  5. Step 5: Solve for x
    x = 4,273,037.41/3,023.75
  6. Step 6: Final answer
    x = 1,413.16

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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.