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Finding the Fourth Proportional to 3,705.94, 5,108.83 and 2,820.21

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Solution

The fourth proportional to 3,705.94, 5,108.83 and 2,820.21 is: 3,887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.94 : 5,108.83 = 2,820.21 : x
  2. Step 2: Convert to fraction form
    3,705.94/5,108.83 = 2,820.21/x
  3. Step 3: Cross multiply
    3,705.94x = 5,108.83 × 2,820.21
  4. Step 4: Simplify right side
    3,705.94x = 14,407,973.45
  5. Step 5: Solve for x
    x = 14,407,973.45/3,705.94
  6. Step 6: Final answer
    x = 3,887.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.