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Finding the Fourth Proportional to 4,968.34, 6,852.75 and 3,199.60

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Solution

The fourth proportional to 4,968.34, 6,852.75 and 3,199.60 is: 4,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.34 : 6,852.75 = 3,199.60 : x
  2. Step 2: Convert to fraction form
    4,968.34/6,852.75 = 3,199.60/x
  3. Step 3: Cross multiply
    4,968.34x = 6,852.75 × 3,199.60
  4. Step 4: Simplify right side
    4,968.34x = 21,926,073.47
  5. Step 5: Solve for x
    x = 21,926,073.47/4,968.34
  6. Step 6: Final answer
    x = 4,413.16

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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.