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Finding the Fourth Proportional to 4,010.63, 6,015.81 and 1,413.50

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Solution

The fourth proportional to 4,010.63, 6,015.81 and 1,413.50 is: 2,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010.63 : 6,015.81 = 1,413.50 : x
  2. Step 2: Convert to fraction form
    4,010.63/6,015.81 = 1,413.50/x
  3. Step 3: Cross multiply
    4,010.63x = 6,015.81 × 1,413.50
  4. Step 4: Simplify right side
    4,010.63x = 8,503,347.44
  5. Step 5: Solve for x
    x = 8,503,347.44/4,010.63
  6. Step 6: Final answer
    x = 2,120.20

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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.