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Finding the Fourth Proportional to 4,682.46, 7,023.06 and 1,394.94

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Solution

The fourth proportional to 4,682.46, 7,023.06 and 1,394.94 is: 2,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.46 : 7,023.06 = 1,394.94 : x
  2. Step 2: Convert to fraction form
    4,682.46/7,023.06 = 1,394.94/x
  3. Step 3: Cross multiply
    4,682.46x = 7,023.06 × 1,394.94
  4. Step 4: Simplify right side
    4,682.46x = 9,796,747.32
  5. Step 5: Solve for x
    x = 9,796,747.32/4,682.46
  6. Step 6: Final answer
    x = 2,092.22

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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.