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Finding the Fourth Proportional to 5,394.94, 7,449.24 and 4,219.36

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Solution

The fourth proportional to 5,394.94, 7,449.24 and 4,219.36 is: 5,826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394.94 : 7,449.24 = 4,219.36 : x
  2. Step 2: Convert to fraction form
    5,394.94/7,449.24 = 4,219.36/x
  3. Step 3: Cross multiply
    5,394.94x = 7,449.24 × 4,219.36
  4. Step 4: Simplify right side
    5,394.94x = 31,431,025.29
  5. Step 5: Solve for x
    x = 31,431,025.29/5,394.94
  6. Step 6: Final answer
    x = 5,826.02

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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.