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Finding the Fourth Proportional to 5,400.93, 8,102.61 and 2,114.97

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Solution

The fourth proportional to 5,400.93, 8,102.61 and 2,114.97 is: 3,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.93 : 8,102.61 = 2,114.97 : x
  2. Step 2: Convert to fraction form
    5,400.93/8,102.61 = 2,114.97/x
  3. Step 3: Cross multiply
    5,400.93x = 8,102.61 × 2,114.97
  4. Step 4: Simplify right side
    5,400.93x = 17,136,777.07
  5. Step 5: Solve for x
    x = 17,136,777.07/5,400.93
  6. Step 6: Final answer
    x = 3,172.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.