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Finding the Fourth Proportional to 6,096.48, 8,413.20 and 3,302

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Solution

The fourth proportional to 6,096.48, 8,413.20 and 3,302 is: 4,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.48 : 8,413.20 = 3,302 : x
  2. Step 2: Convert to fraction form
    6,096.48/8,413.20 = 3,302/x
  3. Step 3: Cross multiply
    6,096.48x = 8,413.20 × 3,302
  4. Step 4: Simplify right side
    6,096.48x = 27,780,386.40
  5. Step 5: Solve for x
    x = 27,780,386.40/6,096.48
  6. Step 6: Final answer
    x = 4,556.79

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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.