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Finding the Fourth Proportional to 4,266.14, 6,404.10 and 4,023.14

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Solution

The fourth proportional to 4,266.14, 6,404.10 and 4,023.14 is: 6,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.14 : 6,404.10 = 4,023.14 : x
  2. Step 2: Convert to fraction form
    4,266.14/6,404.10 = 4,023.14/x
  3. Step 3: Cross multiply
    4,266.14x = 6,404.10 × 4,023.14
  4. Step 4: Simplify right side
    4,266.14x = 25,764,590.87
  5. Step 5: Solve for x
    x = 25,764,590.87/4,266.14
  6. Step 6: Final answer
    x = 6,039.32

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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.