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Finding the Fourth Proportional to 4,094.01, 6,141.02 and 2,707.02

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Solution

The fourth proportional to 4,094.01, 6,141.02 and 2,707.02 is: 4,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.01 : 6,141.02 = 2,707.02 : x
  2. Step 2: Convert to fraction form
    4,094.01/6,141.02 = 2,707.02/x
  3. Step 3: Cross multiply
    4,094.01x = 6,141.02 × 2,707.02
  4. Step 4: Simplify right side
    4,094.01x = 16,623,850.43
  5. Step 5: Solve for x
    x = 16,623,850.43/4,094.01
  6. Step 6: Final answer
    x = 4,060.53

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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.