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Finding the Fourth Proportional to 4,225.65, 6,334.01 and 1,413.78

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Solution

The fourth proportional to 4,225.65, 6,334.01 and 1,413.78 is: 2,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.65 : 6,334.01 = 1,413.78 : x
  2. Step 2: Convert to fraction form
    4,225.65/6,334.01 = 1,413.78/x
  3. Step 3: Cross multiply
    4,225.65x = 6,334.01 × 1,413.78
  4. Step 4: Simplify right side
    4,225.65x = 8,954,896.66
  5. Step 5: Solve for x
    x = 8,954,896.66/4,225.65
  6. Step 6: Final answer
    x = 2,119.18

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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.