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Finding the Fourth Proportional to 5,205.89, 7,185.63 and 2,968.98

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Solution

The fourth proportional to 5,205.89, 7,185.63 and 2,968.98 is: 4,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.89 : 7,185.63 = 2,968.98 : x
  2. Step 2: Convert to fraction form
    5,205.89/7,185.63 = 2,968.98/x
  3. Step 3: Cross multiply
    5,205.89x = 7,185.63 × 2,968.98
  4. Step 4: Simplify right side
    5,205.89x = 21,333,991.76
  5. Step 5: Solve for x
    x = 21,333,991.76/5,205.89
  6. Step 6: Final answer
    x = 4,098.05

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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.