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Finding the Fourth Proportional to 3,971, 5,953.80 and 2,021.60

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Solution

The fourth proportional to 3,971, 5,953.80 and 2,021.60 is: 3,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971 : 5,953.80 = 2,021.60 : x
  2. Step 2: Convert to fraction form
    3,971/5,953.80 = 2,021.60/x
  3. Step 3: Cross multiply
    3,971x = 5,953.80 × 2,021.60
  4. Step 4: Simplify right side
    3,971x = 12,036,202.08
  5. Step 5: Solve for x
    x = 12,036,202.08/3,971
  6. Step 6: Final answer
    x = 3,031.03

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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.