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Finding the Fourth Proportional to 3,877.68, 5,829.48 and 3,022.32

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Solution

The fourth proportional to 3,877.68, 5,829.48 and 3,022.32 is: 4,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.68 : 5,829.48 = 3,022.32 : x
  2. Step 2: Convert to fraction form
    3,877.68/5,829.48 = 3,022.32/x
  3. Step 3: Cross multiply
    3,877.68x = 5,829.48 × 3,022.32
  4. Step 4: Simplify right side
    3,877.68x = 17,618,553.99
  5. Step 5: Solve for x
    x = 17,618,553.99/3,877.68
  6. Step 6: Final answer
    x = 4,543.58

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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.