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Finding the Fourth Proportional to 4,907.32, 6,769.38 and 3,229

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Solution

The fourth proportional to 4,907.32, 6,769.38 and 3,229 is: 4,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.32 : 6,769.38 = 3,229 : x
  2. Step 2: Convert to fraction form
    4,907.32/6,769.38 = 3,229/x
  3. Step 3: Cross multiply
    4,907.32x = 6,769.38 × 3,229
  4. Step 4: Simplify right side
    4,907.32x = 21,858,328.02
  5. Step 5: Solve for x
    x = 21,858,328.02/4,907.32
  6. Step 6: Final answer
    x = 4,454.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.