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Finding the Fourth Proportional to 4,094.48, 6,141.69 and 1,016.48

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Solution

The fourth proportional to 4,094.48, 6,141.69 and 1,016.48 is: 1,524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.48 : 6,141.69 = 1,016.48 : x
  2. Step 2: Convert to fraction form
    4,094.48/6,141.69 = 1,016.48/x
  3. Step 3: Cross multiply
    4,094.48x = 6,141.69 × 1,016.48
  4. Step 4: Simplify right side
    4,094.48x = 6,242,905.05
  5. Step 5: Solve for x
    x = 6,242,905.05/4,094.48
  6. Step 6: Final answer
    x = 1,524.71

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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.