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Finding the Fourth Proportional to 3,941.01, 5,911.74 and 1,019.34

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Solution

The fourth proportional to 3,941.01, 5,911.74 and 1,019.34 is: 1,529.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.01 : 5,911.74 = 1,019.34 : x
  2. Step 2: Convert to fraction form
    3,941.01/5,911.74 = 1,019.34/x
  3. Step 3: Cross multiply
    3,941.01x = 5,911.74 × 1,019.34
  4. Step 4: Simplify right side
    3,941.01x = 6,026,073.05
  5. Step 5: Solve for x
    x = 6,026,073.05/3,941.01
  6. Step 6: Final answer
    x = 1,529.07

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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.