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Finding the Fourth Proportional to 4,275.42, 6,413.13 and 3,415.20

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Solution

The fourth proportional to 4,275.42, 6,413.13 and 3,415.20 is: 5,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.42 : 6,413.13 = 3,415.20 : x
  2. Step 2: Convert to fraction form
    4,275.42/6,413.13 = 3,415.20/x
  3. Step 3: Cross multiply
    4,275.42x = 6,413.13 × 3,415.20
  4. Step 4: Simplify right side
    4,275.42x = 21,902,121.58
  5. Step 5: Solve for x
    x = 21,902,121.58/4,275.42
  6. Step 6: Final answer
    x = 5,122.80

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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.