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Finding the Fourth Proportional to 3,864.96, 5,790.96 and 2,128.32

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Solution

The fourth proportional to 3,864.96, 5,790.96 and 2,128.32 is: 3,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.96 : 5,790.96 = 2,128.32 : x
  2. Step 2: Convert to fraction form
    3,864.96/5,790.96 = 2,128.32/x
  3. Step 3: Cross multiply
    3,864.96x = 5,790.96 × 2,128.32
  4. Step 4: Simplify right side
    3,864.96x = 12,325,015.99
  5. Step 5: Solve for x
    x = 12,325,015.99/3,864.96
  6. Step 6: Final answer
    x = 3,188.91

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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.