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Finding the Fourth Proportional to 4,903.45, 6,768.50 and 2,914

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Solution

The fourth proportional to 4,903.45, 6,768.50 and 2,914 is: 4,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.45 : 6,768.50 = 2,914 : x
  2. Step 2: Convert to fraction form
    4,903.45/6,768.50 = 2,914/x
  3. Step 3: Cross multiply
    4,903.45x = 6,768.50 × 2,914
  4. Step 4: Simplify right side
    4,903.45x = 19,723,409
  5. Step 5: Solve for x
    x = 19,723,409/4,903.45
  6. Step 6: Final answer
    x = 4,022.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.