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Finding the Fourth Proportional to 3,133.45, 4,700.78 and 942.13

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Solution

The fourth proportional to 3,133.45, 4,700.78 and 942.13 is: 1,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.45 : 4,700.78 = 942.13 : x
  2. Step 2: Convert to fraction form
    3,133.45/4,700.78 = 942.13/x
  3. Step 3: Cross multiply
    3,133.45x = 4,700.78 × 942.13
  4. Step 4: Simplify right side
    3,133.45x = 4,428,745.86
  5. Step 5: Solve for x
    x = 4,428,745.86/3,133.45
  6. Step 6: Final answer
    x = 1,413.38

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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.