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Finding the Fourth Proportional to 6,413.56, 8,849.80 and 3,580.58

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Solution

The fourth proportional to 6,413.56, 8,849.80 and 3,580.58 is: 4,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.56 : 8,849.80 = 3,580.58 : x
  2. Step 2: Convert to fraction form
    6,413.56/8,849.80 = 3,580.58/x
  3. Step 3: Cross multiply
    6,413.56x = 8,849.80 × 3,580.58
  4. Step 4: Simplify right side
    6,413.56x = 31,687,416.88
  5. Step 5: Solve for x
    x = 31,687,416.88/6,413.56
  6. Step 6: Final answer
    x = 4,940.69

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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.