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Finding the Fourth Proportional to 3,966.32, 5,940.84 and 1,910

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Solution

The fourth proportional to 3,966.32, 5,940.84 and 1,910 is: 2,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.32 : 5,940.84 = 1,910 : x
  2. Step 2: Convert to fraction form
    3,966.32/5,940.84 = 1,910/x
  3. Step 3: Cross multiply
    3,966.32x = 5,940.84 × 1,910
  4. Step 4: Simplify right side
    3,966.32x = 11,347,004.40
  5. Step 5: Solve for x
    x = 11,347,004.40/3,966.32
  6. Step 6: Final answer
    x = 2,860.84

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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.