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Finding the Fourth Proportional to 6,096.74, 8,413.66 and 3,705.89

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Solution

The fourth proportional to 6,096.74, 8,413.66 and 3,705.89 is: 5,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.74 : 8,413.66 = 3,705.89 : x
  2. Step 2: Convert to fraction form
    6,096.74/8,413.66 = 3,705.89/x
  3. Step 3: Cross multiply
    6,096.74x = 8,413.66 × 3,705.89
  4. Step 4: Simplify right side
    6,096.74x = 31,180,040.18
  5. Step 5: Solve for x
    x = 31,180,040.18/6,096.74
  6. Step 6: Final answer
    x = 5,114.22

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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.