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Finding the Fourth Proportional to 4,564.49, 6,846.78 and 1,444.44

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Solution

The fourth proportional to 4,564.49, 6,846.78 and 1,444.44 is: 2,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.49 : 6,846.78 = 1,444.44 : x
  2. Step 2: Convert to fraction form
    4,564.49/6,846.78 = 1,444.44/x
  3. Step 3: Cross multiply
    4,564.49x = 6,846.78 × 1,444.44
  4. Step 4: Simplify right side
    4,564.49x = 9,889,768.32
  5. Step 5: Solve for x
    x = 9,889,768.32/4,564.49
  6. Step 6: Final answer
    x = 2,166.67

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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.