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Finding the Fourth Proportional to 4,538, 6,262.44 and 2,769.32

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Solution

The fourth proportional to 4,538, 6,262.44 and 2,769.32 is: 3,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538 : 6,262.44 = 2,769.32 : x
  2. Step 2: Convert to fraction form
    4,538/6,262.44 = 2,769.32/x
  3. Step 3: Cross multiply
    4,538x = 6,262.44 × 2,769.32
  4. Step 4: Simplify right side
    4,538x = 17,342,700.34
  5. Step 5: Solve for x
    x = 17,342,700.34/4,538
  6. Step 6: Final answer
    x = 3,821.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.