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Finding the Fourth Proportional to 4,094.08, 6,141.20 and 1,016

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Solution

The fourth proportional to 4,094.08, 6,141.20 and 1,016 is: 1,524.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.08 : 6,141.20 = 1,016 : x
  2. Step 2: Convert to fraction form
    4,094.08/6,141.20 = 1,016/x
  3. Step 3: Cross multiply
    4,094.08x = 6,141.20 × 1,016
  4. Step 4: Simplify right side
    4,094.08x = 6,239,459.20
  5. Step 5: Solve for x
    x = 6,239,459.20/4,094.08
  6. Step 6: Final answer
    x = 1,524.02

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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.