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Finding the Fourth Proportional to 5,048.98, 7,568.94 and 2,277.16

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Solution

The fourth proportional to 5,048.98, 7,568.94 and 2,277.16 is: 3,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.98 : 7,568.94 = 2,277.16 : x
  2. Step 2: Convert to fraction form
    5,048.98/7,568.94 = 2,277.16/x
  3. Step 3: Cross multiply
    5,048.98x = 7,568.94 × 2,277.16
  4. Step 4: Simplify right side
    5,048.98x = 17,235,687.41
  5. Step 5: Solve for x
    x = 17,235,687.41/5,048.98
  6. Step 6: Final answer
    x = 3,413.70

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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.