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Finding the Fourth Proportional to 4,095.77, 6,144.15 and 2,014.01

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Solution

The fourth proportional to 4,095.77, 6,144.15 and 2,014.01 is: 3,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.77 : 6,144.15 = 2,014.01 : x
  2. Step 2: Convert to fraction form
    4,095.77/6,144.15 = 2,014.01/x
  3. Step 3: Cross multiply
    4,095.77x = 6,144.15 × 2,014.01
  4. Step 4: Simplify right side
    4,095.77x = 12,374,413.97
  5. Step 5: Solve for x
    x = 12,374,413.97/4,095.77
  6. Step 6: Final answer
    x = 3,021.27

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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.