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Finding the Fourth Proportional to 6,097.85, 8,413.88 and 3,858.15

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Solution

The fourth proportional to 6,097.85, 8,413.88 and 3,858.15 is: 5,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.85 : 8,413.88 = 3,858.15 : x
  2. Step 2: Convert to fraction form
    6,097.85/8,413.88 = 3,858.15/x
  3. Step 3: Cross multiply
    6,097.85x = 8,413.88 × 3,858.15
  4. Step 4: Simplify right side
    6,097.85x = 32,462,011.12
  5. Step 5: Solve for x
    x = 32,462,011.12/6,097.85
  6. Step 6: Final answer
    x = 5,323.52

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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.