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Finding the Fourth Proportional to 4,178.15, 6,267.85 and 1,404.15

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Solution

The fourth proportional to 4,178.15, 6,267.85 and 1,404.15 is: 2,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.15 : 6,267.85 = 1,404.15 : x
  2. Step 2: Convert to fraction form
    4,178.15/6,267.85 = 1,404.15/x
  3. Step 3: Cross multiply
    4,178.15x = 6,267.85 × 1,404.15
  4. Step 4: Simplify right side
    4,178.15x = 8,800,974.56
  5. Step 5: Solve for x
    x = 8,800,974.56/4,178.15
  6. Step 6: Final answer
    x = 2,106.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.