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Finding the Fourth Proportional to 3,257, 4,886.22 and 1,309.32

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Solution

The fourth proportional to 3,257, 4,886.22 and 1,309.32 is: 1,964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257 : 4,886.22 = 1,309.32 : x
  2. Step 2: Convert to fraction form
    3,257/4,886.22 = 1,309.32/x
  3. Step 3: Cross multiply
    3,257x = 4,886.22 × 1,309.32
  4. Step 4: Simplify right side
    3,257x = 6,397,625.57
  5. Step 5: Solve for x
    x = 6,397,625.57/3,257
  6. Step 6: Final answer
    x = 1,964.27

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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.