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Finding the Fourth Proportional to 4,225.55, 6,336.72 and 1,413.81

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Solution

The fourth proportional to 4,225.55, 6,336.72 and 1,413.81 is: 2,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.55 : 6,336.72 = 1,413.81 : x
  2. Step 2: Convert to fraction form
    4,225.55/6,336.72 = 1,413.81/x
  3. Step 3: Cross multiply
    4,225.55x = 6,336.72 × 1,413.81
  4. Step 4: Simplify right side
    4,225.55x = 8,958,918.10
  5. Step 5: Solve for x
    x = 8,958,918.10/4,225.55
  6. Step 6: Final answer
    x = 2,120.18

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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.