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Finding the Fourth Proportional to 6,066.42, 8,371.65 and 3,413.82

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Solution

The fourth proportional to 6,066.42, 8,371.65 and 3,413.82 is: 4,711.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066.42 : 8,371.65 = 3,413.82 : x
  2. Step 2: Convert to fraction form
    6,066.42/8,371.65 = 3,413.82/x
  3. Step 3: Cross multiply
    6,066.42x = 8,371.65 × 3,413.82
  4. Step 4: Simplify right side
    6,066.42x = 28,579,306.20
  5. Step 5: Solve for x
    x = 28,579,306.20/6,066.42
  6. Step 6: Final answer
    x = 4,711.07

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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.