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Finding the Fourth Proportional to 5,922.52, 8,885.26 and 1,762.52

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Solution

The fourth proportional to 5,922.52, 8,885.26 and 1,762.52 is: 2,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.52 : 8,885.26 = 1,762.52 : x
  2. Step 2: Convert to fraction form
    5,922.52/8,885.26 = 1,762.52/x
  3. Step 3: Cross multiply
    5,922.52x = 8,885.26 × 1,762.52
  4. Step 4: Simplify right side
    5,922.52x = 15,660,448.46
  5. Step 5: Solve for x
    x = 15,660,448.46/5,922.52
  6. Step 6: Final answer
    x = 2,644.22

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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.