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Finding the Fourth Proportional to 6,096.80, 8,413.58 and 3,302.30

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Solution

The fourth proportional to 6,096.80, 8,413.58 and 3,302.30 is: 4,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.80 : 8,413.58 = 3,302.30 : x
  2. Step 2: Convert to fraction form
    6,096.80/8,413.58 = 3,302.30/x
  3. Step 3: Cross multiply
    6,096.80x = 8,413.58 × 3,302.30
  4. Step 4: Simplify right side
    6,096.80x = 27,784,137.91
  5. Step 5: Solve for x
    x = 27,784,137.91/6,096.80
  6. Step 6: Final answer
    x = 4,557.17

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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.