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Finding the Fourth Proportional to 3,411, 5,077.44 and 3,251.70

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Solution

The fourth proportional to 3,411, 5,077.44 and 3,251.70 is: 4,840.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411 : 5,077.44 = 3,251.70 : x
  2. Step 2: Convert to fraction form
    3,411/5,077.44 = 3,251.70/x
  3. Step 3: Cross multiply
    3,411x = 5,077.44 × 3,251.70
  4. Step 4: Simplify right side
    3,411x = 16,510,311.65
  5. Step 5: Solve for x
    x = 16,510,311.65/3,411
  6. Step 6: Final answer
    x = 4,840.31

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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.