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Finding the Fourth Proportional to 4,301.60, 5,936.28 and 2,413.60

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Solution

The fourth proportional to 4,301.60, 5,936.28 and 2,413.60 is: 3,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.60 : 5,936.28 = 2,413.60 : x
  2. Step 2: Convert to fraction form
    4,301.60/5,936.28 = 2,413.60/x
  3. Step 3: Cross multiply
    4,301.60x = 5,936.28 × 2,413.60
  4. Step 4: Simplify right side
    4,301.60x = 14,327,793.34
  5. Step 5: Solve for x
    x = 14,327,793.34/4,301.60
  6. Step 6: Final answer
    x = 3,330.81

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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.