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Finding the Fourth Proportional to 3,227.63, 4,454.12 and 1,830.38

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Solution

The fourth proportional to 3,227.63, 4,454.12 and 1,830.38 is: 2,525.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.63 : 4,454.12 = 1,830.38 : x
  2. Step 2: Convert to fraction form
    3,227.63/4,454.12 = 1,830.38/x
  3. Step 3: Cross multiply
    3,227.63x = 4,454.12 × 1,830.38
  4. Step 4: Simplify right side
    3,227.63x = 8,152,714.47
  5. Step 5: Solve for x
    x = 8,152,714.47/3,227.63
  6. Step 6: Final answer
    x = 2,525.92

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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.