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Finding the Fourth Proportional to 3,271.25, 4,514.37 and 1,874

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Solution

The fourth proportional to 3,271.25, 4,514.37 and 1,874 is: 2,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.25 : 4,514.37 = 1,874 : x
  2. Step 2: Convert to fraction form
    3,271.25/4,514.37 = 1,874/x
  3. Step 3: Cross multiply
    3,271.25x = 4,514.37 × 1,874
  4. Step 4: Simplify right side
    3,271.25x = 8,459,929.38
  5. Step 5: Solve for x
    x = 8,459,929.38/3,271.25
  6. Step 6: Final answer
    x = 2,586.15

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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.