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Finding the Fourth Proportional to 4,413.66, 6,620.30 and 2,678.64

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Solution

The fourth proportional to 4,413.66, 6,620.30 and 2,678.64 is: 4,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413.66 : 6,620.30 = 2,678.64 : x
  2. Step 2: Convert to fraction form
    4,413.66/6,620.30 = 2,678.64/x
  3. Step 3: Cross multiply
    4,413.66x = 6,620.30 × 2,678.64
  4. Step 4: Simplify right side
    4,413.66x = 17,733,387.00
  5. Step 5: Solve for x
    x = 17,733,387.00/4,413.66
  6. Step 6: Final answer
    x = 4,017.84

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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.