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Finding the Fourth Proportional to 3,147.81, 4,715.56 and 2,413.80

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Solution

The fourth proportional to 3,147.81, 4,715.56 and 2,413.80 is: 3,615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.81 : 4,715.56 = 2,413.80 : x
  2. Step 2: Convert to fraction form
    3,147.81/4,715.56 = 2,413.80/x
  3. Step 3: Cross multiply
    3,147.81x = 4,715.56 × 2,413.80
  4. Step 4: Simplify right side
    3,147.81x = 11,382,430.59
  5. Step 5: Solve for x
    x = 11,382,430.59/3,147.81
  6. Step 6: Final answer
    x = 3,615.98

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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.