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Finding the Fourth Proportional to 4,676.44, 6,452.04 and 3,798.04

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Solution

The fourth proportional to 4,676.44, 6,452.04 and 3,798.04 is: 5,240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.44 : 6,452.04 = 3,798.04 : x
  2. Step 2: Convert to fraction form
    4,676.44/6,452.04 = 3,798.04/x
  3. Step 3: Cross multiply
    4,676.44x = 6,452.04 × 3,798.04
  4. Step 4: Simplify right side
    4,676.44x = 24,505,106.00
  5. Step 5: Solve for x
    x = 24,505,106.00/4,676.44
  6. Step 6: Final answer
    x = 5,240.12

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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.