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Finding the Fourth Proportional to 5,049.69, 7,575.23 and 1,762.03

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Solution

The fourth proportional to 5,049.69, 7,575.23 and 1,762.03 is: 2,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.69 : 7,575.23 = 1,762.03 : x
  2. Step 2: Convert to fraction form
    5,049.69/7,575.23 = 1,762.03/x
  3. Step 3: Cross multiply
    5,049.69x = 7,575.23 × 1,762.03
  4. Step 4: Simplify right side
    5,049.69x = 13,347,782.52
  5. Step 5: Solve for x
    x = 13,347,782.52/5,049.69
  6. Step 6: Final answer
    x = 2,643.29

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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.