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Finding the Fourth Proportional to 3,575.82, 4,908.32 and 3,174.06

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Solution

The fourth proportional to 3,575.82, 4,908.32 and 3,174.06 is: 4,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.82 : 4,908.32 = 3,174.06 : x
  2. Step 2: Convert to fraction form
    3,575.82/4,908.32 = 3,174.06/x
  3. Step 3: Cross multiply
    3,575.82x = 4,908.32 × 3,174.06
  4. Step 4: Simplify right side
    3,575.82x = 15,579,286.31
  5. Step 5: Solve for x
    x = 15,579,286.31/3,575.82
  6. Step 6: Final answer
    x = 4,356.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.