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Finding the Fourth Proportional to 4,662.44, 6,994 and 1,542.32

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Solution

The fourth proportional to 4,662.44, 6,994 and 1,542.32 is: 2,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.44 : 6,994 = 1,542.32 : x
  2. Step 2: Convert to fraction form
    4,662.44/6,994 = 1,542.32/x
  3. Step 3: Cross multiply
    4,662.44x = 6,994 × 1,542.32
  4. Step 4: Simplify right side
    4,662.44x = 10,786,986.08
  5. Step 5: Solve for x
    x = 10,786,986.08/4,662.44
  6. Step 6: Final answer
    x = 2,313.59

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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.