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Finding the Fourth Proportional to 5,057.87, 7,586.87 and 1,938.03

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Solution

The fourth proportional to 5,057.87, 7,586.87 and 1,938.03 is: 2,907.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.87 : 7,586.87 = 1,938.03 : x
  2. Step 2: Convert to fraction form
    5,057.87/7,586.87 = 1,938.03/x
  3. Step 3: Cross multiply
    5,057.87x = 7,586.87 × 1,938.03
  4. Step 4: Simplify right side
    5,057.87x = 14,703,606.69
  5. Step 5: Solve for x
    x = 14,703,606.69/5,057.87
  6. Step 6: Final answer
    x = 2,907.08

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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.