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Finding the Fourth Proportional to 4,868.82, 7,301.21 and 2,094.03

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Solution

The fourth proportional to 4,868.82, 7,301.21 and 2,094.03 is: 3,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.82 : 7,301.21 = 2,094.03 : x
  2. Step 2: Convert to fraction form
    4,868.82/7,301.21 = 2,094.03/x
  3. Step 3: Cross multiply
    4,868.82x = 7,301.21 × 2,094.03
  4. Step 4: Simplify right side
    4,868.82x = 15,288,942.31
  5. Step 5: Solve for x
    x = 15,288,942.31/4,868.82
  6. Step 6: Final answer
    x = 3,140.17

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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.