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Finding the Fourth Proportional to 3,666.42, 5,059.44 and 2,174.94

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Solution

The fourth proportional to 3,666.42, 5,059.44 and 2,174.94 is: 3,001.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.42 : 5,059.44 = 2,174.94 : x
  2. Step 2: Convert to fraction form
    3,666.42/5,059.44 = 2,174.94/x
  3. Step 3: Cross multiply
    3,666.42x = 5,059.44 × 2,174.94
  4. Step 4: Simplify right side
    3,666.42x = 11,003,978.43
  5. Step 5: Solve for x
    x = 11,003,978.43/3,666.42
  6. Step 6: Final answer
    x = 3,001.29

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