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Finding the Fourth Proportional to 3,970.56, 5,956.48 and 2,021.72

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Solution

The fourth proportional to 3,970.56, 5,956.48 and 2,021.72 is: 3,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.56 : 5,956.48 = 2,021.72 : x
  2. Step 2: Convert to fraction form
    3,970.56/5,956.48 = 2,021.72/x
  3. Step 3: Cross multiply
    3,970.56x = 5,956.48 × 2,021.72
  4. Step 4: Simplify right side
    3,970.56x = 12,042,334.75
  5. Step 5: Solve for x
    x = 12,042,334.75/3,970.56
  6. Step 6: Final answer
    x = 3,032.91

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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.