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Finding the Fourth Proportional to 4,092.64, 5,648.44 and 2,413.50

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Solution

The fourth proportional to 4,092.64, 5,648.44 and 2,413.50 is: 3,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.64 : 5,648.44 = 2,413.50 : x
  2. Step 2: Convert to fraction form
    4,092.64/5,648.44 = 2,413.50/x
  3. Step 3: Cross multiply
    4,092.64x = 5,648.44 × 2,413.50
  4. Step 4: Simplify right side
    4,092.64x = 13,632,509.94
  5. Step 5: Solve for x
    x = 13,632,509.94/4,092.64
  6. Step 6: Final answer
    x = 3,330.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.