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Finding the Fourth Proportional to 4,650.42, 6,413.18 and 3,054.26

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Solution

The fourth proportional to 4,650.42, 6,413.18 and 3,054.26 is: 4,211.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.42 : 6,413.18 = 3,054.26 : x
  2. Step 2: Convert to fraction form
    4,650.42/6,413.18 = 3,054.26/x
  3. Step 3: Cross multiply
    4,650.42x = 6,413.18 × 3,054.26
  4. Step 4: Simplify right side
    4,650.42x = 19,587,495.86
  5. Step 5: Solve for x
    x = 19,587,495.86/4,650.42
  6. Step 6: Final answer
    x = 4,211.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.