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Finding the Fourth Proportional to 4,413.84, 6,090.80 and 2,424

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Solution

The fourth proportional to 4,413.84, 6,090.80 and 2,424 is: 3,344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413.84 : 6,090.80 = 2,424 : x
  2. Step 2: Convert to fraction form
    4,413.84/6,090.80 = 2,424/x
  3. Step 3: Cross multiply
    4,413.84x = 6,090.80 × 2,424
  4. Step 4: Simplify right side
    4,413.84x = 14,764,099.20
  5. Step 5: Solve for x
    x = 14,764,099.20/4,413.84
  6. Step 6: Final answer
    x = 3,344.96

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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.