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Finding the Fourth Proportional to 3,811.93, 5,721.50 and 1,964.32

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Solution

The fourth proportional to 3,811.93, 5,721.50 and 1,964.32 is: 2,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.93 : 5,721.50 = 1,964.32 : x
  2. Step 2: Convert to fraction form
    3,811.93/5,721.50 = 1,964.32/x
  3. Step 3: Cross multiply
    3,811.93x = 5,721.50 × 1,964.32
  4. Step 4: Simplify right side
    3,811.93x = 11,238,847.49
  5. Step 5: Solve for x
    x = 11,238,847.49/3,811.93
  6. Step 6: Final answer
    x = 2,948.34

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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.