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Finding the Fourth Proportional to 4,676.94, 6,454.65 and 3,495.96

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Solution

The fourth proportional to 4,676.94, 6,454.65 and 3,495.96 is: 4,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.94 : 6,454.65 = 3,495.96 : x
  2. Step 2: Convert to fraction form
    4,676.94/6,454.65 = 3,495.96/x
  3. Step 3: Cross multiply
    4,676.94x = 6,454.65 × 3,495.96
  4. Step 4: Simplify right side
    4,676.94x = 22,565,198.21
  5. Step 5: Solve for x
    x = 22,565,198.21/4,676.94
  6. Step 6: Final answer
    x = 4,824.78

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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.