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Finding the Fourth Proportional to 5,174.58, 7,763.76 and 3,228.42

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Solution

The fourth proportional to 5,174.58, 7,763.76 and 3,228.42 is: 4,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.58 : 7,763.76 = 3,228.42 : x
  2. Step 2: Convert to fraction form
    5,174.58/7,763.76 = 3,228.42/x
  3. Step 3: Cross multiply
    5,174.58x = 7,763.76 × 3,228.42
  4. Step 4: Simplify right side
    5,174.58x = 25,064,678.06
  5. Step 5: Solve for x
    x = 25,064,678.06/5,174.58
  6. Step 6: Final answer
    x = 4,843.81

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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.