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Finding the Fourth Proportional to 6,096.51, 8,413.61 and 3,707.42

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Solution

The fourth proportional to 6,096.51, 8,413.61 and 3,707.42 is: 5,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.51 : 8,413.61 = 3,707.42 : x
  2. Step 2: Convert to fraction form
    6,096.51/8,413.61 = 3,707.42/x
  3. Step 3: Cross multiply
    6,096.51x = 8,413.61 × 3,707.42
  4. Step 4: Simplify right side
    6,096.51x = 31,192,725.38
  5. Step 5: Solve for x
    x = 31,192,725.38/6,096.51
  6. Step 6: Final answer
    x = 5,116.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.