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Finding the Fourth Proportional to 5,404.70, 7,458.45 and 3,166.09

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Solution

The fourth proportional to 5,404.70, 7,458.45 and 3,166.09 is: 4,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.70 : 7,458.45 = 3,166.09 : x
  2. Step 2: Convert to fraction form
    5,404.70/7,458.45 = 3,166.09/x
  3. Step 3: Cross multiply
    5,404.70x = 7,458.45 × 3,166.09
  4. Step 4: Simplify right side
    5,404.70x = 23,614,126.78
  5. Step 5: Solve for x
    x = 23,614,126.78/5,404.70
  6. Step 6: Final answer
    x = 4,369.19

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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.