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Finding the Fourth Proportional to 4,193, 6,285.36 and 2,345

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Solution

The fourth proportional to 4,193, 6,285.36 and 2,345 is: 3,515.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193 : 6,285.36 = 2,345 : x
  2. Step 2: Convert to fraction form
    4,193/6,285.36 = 2,345/x
  3. Step 3: Cross multiply
    4,193x = 6,285.36 × 2,345
  4. Step 4: Simplify right side
    4,193x = 14,739,169.20
  5. Step 5: Solve for x
    x = 14,739,169.20/4,193
  6. Step 6: Final answer
    x = 3,515.18

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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.