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Finding the Fourth Proportional to 3,006.81, 4,478.49 and 2,850.75

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Solution

The fourth proportional to 3,006.81, 4,478.49 and 2,850.75 is: 4,246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.81 : 4,478.49 = 2,850.75 : x
  2. Step 2: Convert to fraction form
    3,006.81/4,478.49 = 2,850.75/x
  3. Step 3: Cross multiply
    3,006.81x = 4,478.49 × 2,850.75
  4. Step 4: Simplify right side
    3,006.81x = 12,767,055.37
  5. Step 5: Solve for x
    x = 12,767,055.37/3,006.81
  6. Step 6: Final answer
    x = 4,246.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.