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Finding the Fourth Proportional to 3,858.32, 5,790.54 and 2,009.96

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Solution

The fourth proportional to 3,858.32, 5,790.54 and 2,009.96 is: 3,016.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.32 : 5,790.54 = 2,009.96 : x
  2. Step 2: Convert to fraction form
    3,858.32/5,790.54 = 2,009.96/x
  3. Step 3: Cross multiply
    3,858.32x = 5,790.54 × 2,009.96
  4. Step 4: Simplify right side
    3,858.32x = 11,638,753.78
  5. Step 5: Solve for x
    x = 11,638,753.78/3,858.32
  6. Step 6: Final answer
    x = 3,016.53

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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.