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Finding the Fourth Proportional to 4,094.96, 6,141.84 and 2,014.40

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Solution

The fourth proportional to 4,094.96, 6,141.84 and 2,014.40 is: 3,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.96 : 6,141.84 = 2,014.40 : x
  2. Step 2: Convert to fraction form
    4,094.96/6,141.84 = 2,014.40/x
  3. Step 3: Cross multiply
    4,094.96x = 6,141.84 × 2,014.40
  4. Step 4: Simplify right side
    4,094.96x = 12,372,122.50
  5. Step 5: Solve for x
    x = 12,372,122.50/4,094.96
  6. Step 6: Final answer
    x = 3,021.30

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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.