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Finding the Fourth Proportional to 5,188.93, 7,160.79 and 2,950.80

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Solution

The fourth proportional to 5,188.93, 7,160.79 and 2,950.80 is: 4,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.93 : 7,160.79 = 2,950.80 : x
  2. Step 2: Convert to fraction form
    5,188.93/7,160.79 = 2,950.80/x
  3. Step 3: Cross multiply
    5,188.93x = 7,160.79 × 2,950.80
  4. Step 4: Simplify right side
    5,188.93x = 21,130,059.13
  5. Step 5: Solve for x
    x = 21,130,059.13/5,188.93
  6. Step 6: Final answer
    x = 4,072.14

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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.