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Finding the Fourth Proportional to 4,287, 6,431.10 and 1,514.04

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Solution

The fourth proportional to 4,287, 6,431.10 and 1,514.04 is: 2,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287 : 6,431.10 = 1,514.04 : x
  2. Step 2: Convert to fraction form
    4,287/6,431.10 = 1,514.04/x
  3. Step 3: Cross multiply
    4,287x = 6,431.10 × 1,514.04
  4. Step 4: Simplify right side
    4,287x = 9,736,942.64
  5. Step 5: Solve for x
    x = 9,736,942.64/4,287
  6. Step 6: Final answer
    x = 2,271.27

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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.