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Finding the Fourth Proportional to 3,464.52, 5,192.40 and 1,514.40

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Solution

The fourth proportional to 3,464.52, 5,192.40 and 1,514.40 is: 2,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.52 : 5,192.40 = 1,514.40 : x
  2. Step 2: Convert to fraction form
    3,464.52/5,192.40 = 1,514.40/x
  3. Step 3: Cross multiply
    3,464.52x = 5,192.40 × 1,514.40
  4. Step 4: Simplify right side
    3,464.52x = 7,863,370.56
  5. Step 5: Solve for x
    x = 7,863,370.56/3,464.52
  6. Step 6: Final answer
    x = 2,269.69

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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.