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Finding the Fourth Proportional to 5,311.40, 7,330.30 and 3,073.23

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Solution

The fourth proportional to 5,311.40, 7,330.30 and 3,073.23 is: 4,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.40 : 7,330.30 = 3,073.23 : x
  2. Step 2: Convert to fraction form
    5,311.40/7,330.30 = 3,073.23/x
  3. Step 3: Cross multiply
    5,311.40x = 7,330.30 × 3,073.23
  4. Step 4: Simplify right side
    5,311.40x = 22,527,690.19
  5. Step 5: Solve for x
    x = 22,527,690.19/5,311.40
  6. Step 6: Final answer
    x = 4,241.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.