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Finding the Fourth Proportional to 6,066.29, 8,371.95 and 3,413.95

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Solution

The fourth proportional to 6,066.29, 8,371.95 and 3,413.95 is: 4,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066.29 : 8,371.95 = 3,413.95 : x
  2. Step 2: Convert to fraction form
    6,066.29/8,371.95 = 3,413.95/x
  3. Step 3: Cross multiply
    6,066.29x = 8,371.95 × 3,413.95
  4. Step 4: Simplify right side
    6,066.29x = 28,581,418.70
  5. Step 5: Solve for x
    x = 28,581,418.70/6,066.29
  6. Step 6: Final answer
    x = 4,711.52

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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.