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Finding the Fourth Proportional to 3,405.12, 4,698.21 and 2,078.34

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Solution

The fourth proportional to 3,405.12, 4,698.21 and 2,078.34 is: 2,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.12 : 4,698.21 = 2,078.34 : x
  2. Step 2: Convert to fraction form
    3,405.12/4,698.21 = 2,078.34/x
  3. Step 3: Cross multiply
    3,405.12x = 4,698.21 × 2,078.34
  4. Step 4: Simplify right side
    3,405.12x = 9,764,477.77
  5. Step 5: Solve for x
    x = 9,764,477.77/3,405.12
  6. Step 6: Final answer
    x = 2,867.59

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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.