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Finding the Fourth Proportional to 6,065.82, 8,370.63 and 3,413.88

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Solution

The fourth proportional to 6,065.82, 8,370.63 and 3,413.88 is: 4,711.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.82 : 8,370.63 = 3,413.88 : x
  2. Step 2: Convert to fraction form
    6,065.82/8,370.63 = 3,413.88/x
  3. Step 3: Cross multiply
    6,065.82x = 8,370.63 × 3,413.88
  4. Step 4: Simplify right side
    6,065.82x = 28,576,326.34
  5. Step 5: Solve for x
    x = 28,576,326.34/6,065.82
  6. Step 6: Final answer
    x = 4,711.04

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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.