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Finding the Fourth Proportional to 4,290.79, 6,413.34 and 3,730.98

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Solution

The fourth proportional to 4,290.79, 6,413.34 and 3,730.98 is: 5,576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.79 : 6,413.34 = 3,730.98 : x
  2. Step 2: Convert to fraction form
    4,290.79/6,413.34 = 3,730.98/x
  3. Step 3: Cross multiply
    4,290.79x = 6,413.34 × 3,730.98
  4. Step 4: Simplify right side
    4,290.79x = 23,928,043.27
  5. Step 5: Solve for x
    x = 23,928,043.27/4,290.79
  6. Step 6: Final answer
    x = 5,576.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.