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Finding the Fourth Proportional to 4,676.08, 7,019 and 3,444.88

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Solution

The fourth proportional to 4,676.08, 7,019 and 3,444.88 is: 5,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.08 : 7,019 = 3,444.88 : x
  2. Step 2: Convert to fraction form
    4,676.08/7,019 = 3,444.88/x
  3. Step 3: Cross multiply
    4,676.08x = 7,019 × 3,444.88
  4. Step 4: Simplify right side
    4,676.08x = 24,179,612.72
  5. Step 5: Solve for x
    x = 24,179,612.72/4,676.08
  6. Step 6: Final answer
    x = 5,170.92

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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.