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Finding the Fourth Proportional to 3,705.84, 5,114.21 and 2,213.42

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Solution

The fourth proportional to 3,705.84, 5,114.21 and 2,213.42 is: 3,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.84 : 5,114.21 = 2,213.42 : x
  2. Step 2: Convert to fraction form
    3,705.84/5,114.21 = 2,213.42/x
  3. Step 3: Cross multiply
    3,705.84x = 5,114.21 × 2,213.42
  4. Step 4: Simplify right side
    3,705.84x = 11,319,858.06
  5. Step 5: Solve for x
    x = 11,319,858.06/3,705.84
  6. Step 6: Final answer
    x = 3,054.60

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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.