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Finding the Fourth Proportional to 6,102.48, 8,421.37 and 3,413.67

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Solution

The fourth proportional to 6,102.48, 8,421.37 and 3,413.67 is: 4,710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.48 : 8,421.37 = 3,413.67 : x
  2. Step 2: Convert to fraction form
    6,102.48/8,421.37 = 3,413.67/x
  3. Step 3: Cross multiply
    6,102.48x = 8,421.37 × 3,413.67
  4. Step 4: Simplify right side
    6,102.48x = 28,747,778.13
  5. Step 5: Solve for x
    x = 28,747,778.13/6,102.48
  6. Step 6: Final answer
    x = 4,710.84

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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.