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Finding the Fourth Proportional to 3,271.98, 4,910.04 and 2,964.46

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Solution

The fourth proportional to 3,271.98, 4,910.04 and 2,964.46 is: 4,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.98 : 4,910.04 = 2,964.46 : x
  2. Step 2: Convert to fraction form
    3,271.98/4,910.04 = 2,964.46/x
  3. Step 3: Cross multiply
    3,271.98x = 4,910.04 × 2,964.46
  4. Step 4: Simplify right side
    3,271.98x = 14,555,617.18
  5. Step 5: Solve for x
    x = 14,555,617.18/3,271.98
  6. Step 6: Final answer
    x = 4,448.57

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Why These Related Problems?

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