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Finding the Fourth Proportional to 5,898.72, 8,147.46 and 4,413.24

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Solution

The fourth proportional to 5,898.72, 8,147.46 and 4,413.24 is: 6,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.72 : 8,147.46 = 4,413.24 : x
  2. Step 2: Convert to fraction form
    5,898.72/8,147.46 = 4,413.24/x
  3. Step 3: Cross multiply
    5,898.72x = 8,147.46 × 4,413.24
  4. Step 4: Simplify right side
    5,898.72x = 35,956,696.37
  5. Step 5: Solve for x
    x = 35,956,696.37/5,898.72
  6. Step 6: Final answer
    x = 6,095.68

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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.