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Finding the Fourth Proportional to 4,193, 6,285.90 and 1,594.12

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Solution

The fourth proportional to 4,193, 6,285.90 and 1,594.12 is: 2,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193 : 6,285.90 = 1,594.12 : x
  2. Step 2: Convert to fraction form
    4,193/6,285.90 = 1,594.12/x
  3. Step 3: Cross multiply
    4,193x = 6,285.90 × 1,594.12
  4. Step 4: Simplify right side
    4,193x = 10,020,478.91
  5. Step 5: Solve for x
    x = 10,020,478.91/4,193
  6. Step 6: Final answer
    x = 2,389.81

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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.