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Finding the Fourth Proportional to 3,722, 5,136.36 and 2,066

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Solution

The fourth proportional to 3,722, 5,136.36 and 2,066 is: 2,851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722 : 5,136.36 = 2,066 : x
  2. Step 2: Convert to fraction form
    3,722/5,136.36 = 2,066/x
  3. Step 3: Cross multiply
    3,722x = 5,136.36 × 2,066
  4. Step 4: Simplify right side
    3,722x = 10,611,719.76
  5. Step 5: Solve for x
    x = 10,611,719.76/3,722
  6. Step 6: Final answer
    x = 2,851.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.