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Finding the Fourth Proportional to 3,884.42, 5,354.25 and 2,625.08

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Solution

The fourth proportional to 3,884.42, 5,354.25 and 2,625.08 is: 3,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.42 : 5,354.25 = 2,625.08 : x
  2. Step 2: Convert to fraction form
    3,884.42/5,354.25 = 2,625.08/x
  3. Step 3: Cross multiply
    3,884.42x = 5,354.25 × 2,625.08
  4. Step 4: Simplify right side
    3,884.42x = 14,055,307.82
  5. Step 5: Solve for x
    x = 14,055,307.82/3,884.42
  6. Step 6: Final answer
    x = 3,618.38

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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.