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Finding the Fourth Proportional to 3,211.80, 4,794.48 and 2,971.32

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Solution

The fourth proportional to 3,211.80, 4,794.48 and 2,971.32 is: 4,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.80 : 4,794.48 = 2,971.32 : x
  2. Step 2: Convert to fraction form
    3,211.80/4,794.48 = 2,971.32/x
  3. Step 3: Cross multiply
    3,211.80x = 4,794.48 × 2,971.32
  4. Step 4: Simplify right side
    3,211.80x = 14,245,934.31
  5. Step 5: Solve for x
    x = 14,245,934.31/3,211.80
  6. Step 6: Final answer
    x = 4,435.50

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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.