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Finding the Fourth Proportional to 5,213.68, 7,194.93 and 2,975.85

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Solution

The fourth proportional to 5,213.68, 7,194.93 and 2,975.85 is: 4,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.68 : 7,194.93 = 2,975.85 : x
  2. Step 2: Convert to fraction form
    5,213.68/7,194.93 = 2,975.85/x
  3. Step 3: Cross multiply
    5,213.68x = 7,194.93 × 2,975.85
  4. Step 4: Simplify right side
    5,213.68x = 21,411,032.44
  5. Step 5: Solve for x
    x = 21,411,032.44/5,213.68
  6. Step 6: Final answer
    x = 4,106.70

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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.