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Finding the Fourth Proportional to 4,010.95, 6,016.43 and 1,413.82

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Solution

The fourth proportional to 4,010.95, 6,016.43 and 1,413.82 is: 2,120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010.95 : 6,016.43 = 1,413.82 : x
  2. Step 2: Convert to fraction form
    4,010.95/6,016.43 = 1,413.82/x
  3. Step 3: Cross multiply
    4,010.95x = 6,016.43 × 1,413.82
  4. Step 4: Simplify right side
    4,010.95x = 8,506,149.06
  5. Step 5: Solve for x
    x = 8,506,149.06/4,010.95
  6. Step 6: Final answer
    x = 2,120.73

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Why These Related Problems?

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