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Finding the Fourth Proportional to 4,206.02, 5,804.19 and 2,413.80

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Solution

The fourth proportional to 4,206.02, 5,804.19 and 2,413.80 is: 3,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.02 : 5,804.19 = 2,413.80 : x
  2. Step 2: Convert to fraction form
    4,206.02/5,804.19 = 2,413.80/x
  3. Step 3: Cross multiply
    4,206.02x = 5,804.19 × 2,413.80
  4. Step 4: Simplify right side
    4,206.02x = 14,010,141.75
  5. Step 5: Solve for x
    x = 14,010,141.75/4,206.02
  6. Step 6: Final answer
    x = 3,330.97

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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.