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Finding the Fourth Proportional to 5,057.65, 7,583.43 and 1,893.79

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Solution

The fourth proportional to 5,057.65, 7,583.43 and 1,893.79 is: 2,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.65 : 7,583.43 = 1,893.79 : x
  2. Step 2: Convert to fraction form
    5,057.65/7,583.43 = 1,893.79/x
  3. Step 3: Cross multiply
    5,057.65x = 7,583.43 × 1,893.79
  4. Step 4: Simplify right side
    5,057.65x = 14,361,423.90
  5. Step 5: Solve for x
    x = 14,361,423.90/5,057.65
  6. Step 6: Final answer
    x = 2,839.54

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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.