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Finding the Fourth Proportional to 3,859.60, 5,327.12 and 2,181.98

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Solution

The fourth proportional to 3,859.60, 5,327.12 and 2,181.98 is: 3,011.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.60 : 5,327.12 = 2,181.98 : x
  2. Step 2: Convert to fraction form
    3,859.60/5,327.12 = 2,181.98/x
  3. Step 3: Cross multiply
    3,859.60x = 5,327.12 × 2,181.98
  4. Step 4: Simplify right side
    3,859.60x = 11,623,669.30
  5. Step 5: Solve for x
    x = 11,623,669.30/3,859.60
  6. Step 6: Final answer
    x = 3,011.63

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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.