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Finding the Fourth Proportional to 3,795.90, 5,696.42 and 1,330.75

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Solution

The fourth proportional to 3,795.90, 5,696.42 and 1,330.75 is: 1,997.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.90 : 5,696.42 = 1,330.75 : x
  2. Step 2: Convert to fraction form
    3,795.90/5,696.42 = 1,330.75/x
  3. Step 3: Cross multiply
    3,795.90x = 5,696.42 × 1,330.75
  4. Step 4: Simplify right side
    3,795.90x = 7,580,504.26
  5. Step 5: Solve for x
    x = 7,580,504.26/3,795.90
  6. Step 6: Final answer
    x = 1,997.03

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Why These Related Problems?

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