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Finding the Fourth Proportional to 4,500, 6,749.10 and 1,578.42

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Solution

The fourth proportional to 4,500, 6,749.10 and 1,578.42 is: 2,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500 : 6,749.10 = 1,578.42 : x
  2. Step 2: Convert to fraction form
    4,500/6,749.10 = 1,578.42/x
  3. Step 3: Cross multiply
    4,500x = 6,749.10 × 1,578.42
  4. Step 4: Simplify right side
    4,500x = 10,652,914.42
  5. Step 5: Solve for x
    x = 10,652,914.42/4,500
  6. Step 6: Final answer
    x = 2,367.31

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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.