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Finding the Fourth Proportional to 3,925, 5,889.66 and 1,873

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Solution

The fourth proportional to 3,925, 5,889.66 and 1,873 is: 2,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925 : 5,889.66 = 1,873 : x
  2. Step 2: Convert to fraction form
    3,925/5,889.66 = 1,873/x
  3. Step 3: Cross multiply
    3,925x = 5,889.66 × 1,873
  4. Step 4: Simplify right side
    3,925x = 11,031,333.18
  5. Step 5: Solve for x
    x = 11,031,333.18/3,925
  6. Step 6: Final answer
    x = 2,810.53

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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.