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Finding the Fourth Proportional to 3,156.22, 4,355.38 and 1,829.82

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Solution

The fourth proportional to 3,156.22, 4,355.38 and 1,829.82 is: 2,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.22 : 4,355.38 = 1,829.82 : x
  2. Step 2: Convert to fraction form
    3,156.22/4,355.38 = 1,829.82/x
  3. Step 3: Cross multiply
    3,156.22x = 4,355.38 × 1,829.82
  4. Step 4: Simplify right side
    3,156.22x = 7,969,561.43
  5. Step 5: Solve for x
    x = 7,969,561.43/3,156.22
  6. Step 6: Final answer
    x = 2,525.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.