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Finding the Fourth Proportional to 3,405.56, 5,106.66 and 2,000.34

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Solution

The fourth proportional to 3,405.56, 5,106.66 and 2,000.34 is: 2,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.56 : 5,106.66 = 2,000.34 : x
  2. Step 2: Convert to fraction form
    3,405.56/5,106.66 = 2,000.34/x
  3. Step 3: Cross multiply
    3,405.56x = 5,106.66 × 2,000.34
  4. Step 4: Simplify right side
    3,405.56x = 10,215,056.26
  5. Step 5: Solve for x
    x = 10,215,056.26/3,405.56
  6. Step 6: Final answer
    x = 2,999.52

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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.