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Finding the Fourth Proportional to 4,002.75, 6,005.10 and 1,266.75

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Solution

The fourth proportional to 4,002.75, 6,005.10 and 1,266.75 is: 1,900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.75 : 6,005.10 = 1,266.75 : x
  2. Step 2: Convert to fraction form
    4,002.75/6,005.10 = 1,266.75/x
  3. Step 3: Cross multiply
    4,002.75x = 6,005.10 × 1,266.75
  4. Step 4: Simplify right side
    4,002.75x = 7,606,960.43
  5. Step 5: Solve for x
    x = 7,606,960.43/4,002.75
  6. Step 6: Final answer
    x = 1,900.43

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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.