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Finding the Fourth Proportional to 3,994.56, 5,987.34 and 1,911.60

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Solution

The fourth proportional to 3,994.56, 5,987.34 and 1,911.60 is: 2,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.56 : 5,987.34 = 1,911.60 : x
  2. Step 2: Convert to fraction form
    3,994.56/5,987.34 = 1,911.60/x
  3. Step 3: Cross multiply
    3,994.56x = 5,987.34 × 1,911.60
  4. Step 4: Simplify right side
    3,994.56x = 11,445,399.14
  5. Step 5: Solve for x
    x = 11,445,399.14/3,994.56
  6. Step 6: Final answer
    x = 2,865.25

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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.