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Finding the Fourth Proportional to 3,310.76, 4,964.21 and 2,271.93

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Solution

The fourth proportional to 3,310.76, 4,964.21 and 2,271.93 is: 3,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.76 : 4,964.21 = 2,271.93 : x
  2. Step 2: Convert to fraction form
    3,310.76/4,964.21 = 2,271.93/x
  3. Step 3: Cross multiply
    3,310.76x = 4,964.21 × 2,271.93
  4. Step 4: Simplify right side
    3,310.76x = 11,278,326.27
  5. Step 5: Solve for x
    x = 11,278,326.27/3,310.76
  6. Step 6: Final answer
    x = 3,406.57

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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.