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Finding the Fourth Proportional to 6,102.52, 8,421.52 and 3,308.02

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Solution

The fourth proportional to 6,102.52, 8,421.52 and 3,308.02 is: 4,565.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.52 : 8,421.52 = 3,308.02 : x
  2. Step 2: Convert to fraction form
    6,102.52/8,421.52 = 3,308.02/x
  3. Step 3: Cross multiply
    6,102.52x = 8,421.52 × 3,308.02
  4. Step 4: Simplify right side
    6,102.52x = 27,858,556.59
  5. Step 5: Solve for x
    x = 27,858,556.59/6,102.52
  6. Step 6: Final answer
    x = 4,565.09

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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.