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Finding the Fourth Proportional to 5,256.92, 7,882.14 and 2,483.48

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Solution

The fourth proportional to 5,256.92, 7,882.14 and 2,483.48 is: 3,723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.92 : 7,882.14 = 2,483.48 : x
  2. Step 2: Convert to fraction form
    5,256.92/7,882.14 = 2,483.48/x
  3. Step 3: Cross multiply
    5,256.92x = 7,882.14 × 2,483.48
  4. Step 4: Simplify right side
    5,256.92x = 19,575,137.05
  5. Step 5: Solve for x
    x = 19,575,137.05/5,256.92
  6. Step 6: Final answer
    x = 3,723.69

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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.