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Finding the Fourth Proportional to 4,189.61, 6,282.14 and 1,267.54

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Solution

The fourth proportional to 4,189.61, 6,282.14 and 1,267.54 is: 1,900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.61 : 6,282.14 = 1,267.54 : x
  2. Step 2: Convert to fraction form
    4,189.61/6,282.14 = 1,267.54/x
  3. Step 3: Cross multiply
    4,189.61x = 6,282.14 × 1,267.54
  4. Step 4: Simplify right side
    4,189.61x = 7,962,863.74
  5. Step 5: Solve for x
    x = 7,962,863.74/4,189.61
  6. Step 6: Final answer
    x = 1,900.62

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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.