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Finding the Fourth Proportional to 3,705.63, 5,113.69 and 2,213.88

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Solution

The fourth proportional to 3,705.63, 5,113.69 and 2,213.88 is: 3,055.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.63 : 5,113.69 = 2,213.88 : x
  2. Step 2: Convert to fraction form
    3,705.63/5,113.69 = 2,213.88/x
  3. Step 3: Cross multiply
    3,705.63x = 5,113.69 × 2,213.88
  4. Step 4: Simplify right side
    3,705.63x = 11,321,096.02
  5. Step 5: Solve for x
    x = 11,321,096.02/3,705.63
  6. Step 6: Final answer
    x = 3,055.11

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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.