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Finding the Fourth Proportional to 4,413.96, 6,085.62 and 3,917.16

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Solution

The fourth proportional to 4,413.96, 6,085.62 and 3,917.16 is: 5,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413.96 : 6,085.62 = 3,917.16 : x
  2. Step 2: Convert to fraction form
    4,413.96/6,085.62 = 3,917.16/x
  3. Step 3: Cross multiply
    4,413.96x = 6,085.62 × 3,917.16
  4. Step 4: Simplify right side
    4,413.96x = 23,838,347.24
  5. Step 5: Solve for x
    x = 23,838,347.24/4,413.96
  6. Step 6: Final answer
    x = 5,400.67

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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.