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Finding the Fourth Proportional to 4,283.14, 6,424.94 and 4,049.39

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Solution

The fourth proportional to 4,283.14, 6,424.94 and 4,049.39 is: 6,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.14 : 6,424.94 = 4,049.39 : x
  2. Step 2: Convert to fraction form
    4,283.14/6,424.94 = 4,049.39/x
  3. Step 3: Cross multiply
    4,283.14x = 6,424.94 × 4,049.39
  4. Step 4: Simplify right side
    4,283.14x = 26,017,087.79
  5. Step 5: Solve for x
    x = 26,017,087.79/4,283.14
  6. Step 6: Final answer
    x = 6,074.30

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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.