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Finding the Fourth Proportional to 3,842.98, 5,302.87 and 2,164.34

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Solution

The fourth proportional to 3,842.98, 5,302.87 and 2,164.34 is: 2,986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.98 : 5,302.87 = 2,164.34 : x
  2. Step 2: Convert to fraction form
    3,842.98/5,302.87 = 2,164.34/x
  3. Step 3: Cross multiply
    3,842.98x = 5,302.87 × 2,164.34
  4. Step 4: Simplify right side
    3,842.98x = 11,477,202.83
  5. Step 5: Solve for x
    x = 11,477,202.83/3,842.98
  6. Step 6: Final answer
    x = 2,986.54

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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.