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Finding the Fourth Proportional to 4,381.50, 6,573.54 and 4,120.40

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Solution

The fourth proportional to 4,381.50, 6,573.54 and 4,120.40 is: 6,181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.50 : 6,573.54 = 4,120.40 : x
  2. Step 2: Convert to fraction form
    4,381.50/6,573.54 = 4,120.40/x
  3. Step 3: Cross multiply
    4,381.50x = 6,573.54 × 4,120.40
  4. Step 4: Simplify right side
    4,381.50x = 27,085,614.22
  5. Step 5: Solve for x
    x = 27,085,614.22/4,381.50
  6. Step 6: Final answer
    x = 6,181.81

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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.