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Finding the Fourth Proportional to 3,754.84, 5,634.30 and 2,111.86

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Solution

The fourth proportional to 3,754.84, 5,634.30 and 2,111.86 is: 3,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.84 : 5,634.30 = 2,111.86 : x
  2. Step 2: Convert to fraction form
    3,754.84/5,634.30 = 2,111.86/x
  3. Step 3: Cross multiply
    3,754.84x = 5,634.30 × 2,111.86
  4. Step 4: Simplify right side
    3,754.84x = 11,898,852.80
  5. Step 5: Solve for x
    x = 11,898,852.80/3,754.84
  6. Step 6: Final answer
    x = 3,168.94

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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.