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Finding the Fourth Proportional to 5,174.00, 7,758.89 and 2,542.64

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Solution

The fourth proportional to 5,174.00, 7,758.89 and 2,542.64 is: 3,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.00 : 7,758.89 = 2,542.64 : x
  2. Step 2: Convert to fraction form
    5,174.00/7,758.89 = 2,542.64/x
  3. Step 3: Cross multiply
    5,174.00x = 7,758.89 × 2,542.64
  4. Step 4: Simplify right side
    5,174.00x = 19,728,031.63
  5. Step 5: Solve for x
    x = 19,728,031.63/5,174.00
  6. Step 6: Final answer
    x = 3,812.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.