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Finding the Fourth Proportional to 3,978.24, 5,955.48 and 2,413.50

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Solution

The fourth proportional to 3,978.24, 5,955.48 and 2,413.50 is: 3,613.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.24 : 5,955.48 = 2,413.50 : x
  2. Step 2: Convert to fraction form
    3,978.24/5,955.48 = 2,413.50/x
  3. Step 3: Cross multiply
    3,978.24x = 5,955.48 × 2,413.50
  4. Step 4: Simplify right side
    3,978.24x = 14,373,550.98
  5. Step 5: Solve for x
    x = 14,373,550.98/3,978.24
  6. Step 6: Final answer
    x = 3,613.04

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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.