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Finding the Fourth Proportional to 4,481.46, 6,724.78 and 1,848.47

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Solution

The fourth proportional to 4,481.46, 6,724.78 and 1,848.47 is: 2,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,481.46 : 6,724.78 = 1,848.47 : x
  2. Step 2: Convert to fraction form
    4,481.46/6,724.78 = 1,848.47/x
  3. Step 3: Cross multiply
    4,481.46x = 6,724.78 × 1,848.47
  4. Step 4: Simplify right side
    4,481.46x = 12,430,554.09
  5. Step 5: Solve for x
    x = 12,430,554.09/4,481.46
  6. Step 6: Final answer
    x = 2,773.77

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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.