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Finding the Fourth Proportional to 4,594.57, 6,893.74 and 1,633.39

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Solution

The fourth proportional to 4,594.57, 6,893.74 and 1,633.39 is: 2,450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.57 : 6,893.74 = 1,633.39 : x
  2. Step 2: Convert to fraction form
    4,594.57/6,893.74 = 1,633.39/x
  3. Step 3: Cross multiply
    4,594.57x = 6,893.74 × 1,633.39
  4. Step 4: Simplify right side
    4,594.57x = 11,260,165.98
  5. Step 5: Solve for x
    x = 11,260,165.98/4,594.57
  6. Step 6: Final answer
    x = 2,450.76

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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.