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Finding the Fourth Proportional to 4,930.74, 7,392.24 and 2,464.29

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Solution

The fourth proportional to 4,930.74, 7,392.24 and 2,464.29 is: 3,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.74 : 7,392.24 = 2,464.29 : x
  2. Step 2: Convert to fraction form
    4,930.74/7,392.24 = 2,464.29/x
  3. Step 3: Cross multiply
    4,930.74x = 7,392.24 × 2,464.29
  4. Step 4: Simplify right side
    4,930.74x = 18,216,623.11
  5. Step 5: Solve for x
    x = 18,216,623.11/4,930.74
  6. Step 6: Final answer
    x = 3,694.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.