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Finding the Fourth Proportional to 4,642.25, 6,406.41 and 2,546.38

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Solution

The fourth proportional to 4,642.25, 6,406.41 and 2,546.38 is: 3,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.25 : 6,406.41 = 2,546.38 : x
  2. Step 2: Convert to fraction form
    4,642.25/6,406.41 = 2,546.38/x
  3. Step 3: Cross multiply
    4,642.25x = 6,406.41 × 2,546.38
  4. Step 4: Simplify right side
    4,642.25x = 16,313,154.30
  5. Step 5: Solve for x
    x = 16,313,154.30/4,642.25
  6. Step 6: Final answer
    x = 3,514.06

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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.