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Finding the Fourth Proportional to 4,413.84, 6,090.48 and 4,099.92

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Solution

The fourth proportional to 4,413.84, 6,090.48 and 4,099.92 is: 5,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413.84 : 6,090.48 = 4,099.92 : x
  2. Step 2: Convert to fraction form
    4,413.84/6,090.48 = 4,099.92/x
  3. Step 3: Cross multiply
    4,413.84x = 6,090.48 × 4,099.92
  4. Step 4: Simplify right side
    4,413.84x = 24,970,480.76
  5. Step 5: Solve for x
    x = 24,970,480.76/4,413.84
  6. Step 6: Final answer
    x = 5,657.31

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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.