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Finding the Fourth Proportional to 3,512.96, 4,848.44 and 2,021.68

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Solution

The fourth proportional to 3,512.96, 4,848.44 and 2,021.68 is: 2,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.96 : 4,848.44 = 2,021.68 : x
  2. Step 2: Convert to fraction form
    3,512.96/4,848.44 = 2,021.68/x
  3. Step 3: Cross multiply
    3,512.96x = 4,848.44 × 2,021.68
  4. Step 4: Simplify right side
    3,512.96x = 9,801,994.18
  5. Step 5: Solve for x
    x = 9,801,994.18/3,512.96
  6. Step 6: Final answer
    x = 2,790.24

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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.