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Finding the Fourth Proportional to 4,930.24, 7,394.08 and 1,466.88

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Solution

The fourth proportional to 4,930.24, 7,394.08 and 1,466.88 is: 2,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.24 : 7,394.08 = 1,466.88 : x
  2. Step 2: Convert to fraction form
    4,930.24/7,394.08 = 1,466.88/x
  3. Step 3: Cross multiply
    4,930.24x = 7,394.08 × 1,466.88
  4. Step 4: Simplify right side
    4,930.24x = 10,846,228.07
  5. Step 5: Solve for x
    x = 10,846,228.07/4,930.24
  6. Step 6: Final answer
    x = 2,199.94

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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.