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Finding the Fourth Proportional to 4,274.17, 6,411.26 and 3,413.95

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Solution

The fourth proportional to 4,274.17, 6,411.26 and 3,413.95 is: 5,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.17 : 6,411.26 = 3,413.95 : x
  2. Step 2: Convert to fraction form
    4,274.17/6,411.26 = 3,413.95/x
  3. Step 3: Cross multiply
    4,274.17x = 6,411.26 × 3,413.95
  4. Step 4: Simplify right side
    4,274.17x = 21,887,704.01
  5. Step 5: Solve for x
    x = 21,887,704.01/4,274.17
  6. Step 6: Final answer
    x = 5,120.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.