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Finding the Fourth Proportional to 6,101.92, 8,420.59 and 3,413.11

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Solution

The fourth proportional to 6,101.92, 8,420.59 and 3,413.11 is: 4,710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.92 : 8,420.59 = 3,413.11 : x
  2. Step 2: Convert to fraction form
    6,101.92/8,420.59 = 3,413.11/x
  3. Step 3: Cross multiply
    6,101.92x = 8,420.59 × 3,413.11
  4. Step 4: Simplify right side
    6,101.92x = 28,740,387.42
  5. Step 5: Solve for x
    x = 28,740,387.42/6,101.92
  6. Step 6: Final answer
    x = 4,710.06

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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.