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Finding the Fourth Proportional to 4,491.90, 6,735.54 and 2,413.65

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Solution

The fourth proportional to 4,491.90, 6,735.54 and 2,413.65 is: 3,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.90 : 6,735.54 = 2,413.65 : x
  2. Step 2: Convert to fraction form
    4,491.90/6,735.54 = 2,413.65/x
  3. Step 3: Cross multiply
    4,491.90x = 6,735.54 × 2,413.65
  4. Step 4: Simplify right side
    4,491.90x = 16,257,236.12
  5. Step 5: Solve for x
    x = 16,257,236.12/4,491.90
  6. Step 6: Final answer
    x = 3,619.24

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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.