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Finding the Fourth Proportional to 3,405.12, 4,697.64 and 2,005.44

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Solution

The fourth proportional to 3,405.12, 4,697.64 and 2,005.44 is: 2,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.12 : 4,697.64 = 2,005.44 : x
  2. Step 2: Convert to fraction form
    3,405.12/4,697.64 = 2,005.44/x
  3. Step 3: Cross multiply
    3,405.12x = 4,697.64 × 2,005.44
  4. Step 4: Simplify right side
    3,405.12x = 9,420,835.16
  5. Step 5: Solve for x
    x = 9,420,835.16/3,405.12
  6. Step 6: Final answer
    x = 2,766.67

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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.