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Finding the Fourth Proportional to 6,096.50, 8,413.53 and 3,443.84

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Solution

The fourth proportional to 6,096.50, 8,413.53 and 3,443.84 is: 4,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.50 : 8,413.53 = 3,443.84 : x
  2. Step 2: Convert to fraction form
    6,096.50/8,413.53 = 3,443.84/x
  3. Step 3: Cross multiply
    6,096.50x = 8,413.53 × 3,443.84
  4. Step 4: Simplify right side
    6,096.50x = 28,974,851.16
  5. Step 5: Solve for x
    x = 28,974,851.16/6,096.50
  6. Step 6: Final answer
    x = 4,752.70

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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.