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Finding the Fourth Proportional to 6,102.88, 8,421.99 and 3,308.38

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Solution

The fourth proportional to 6,102.88, 8,421.99 and 3,308.38 is: 4,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.88 : 8,421.99 = 3,308.38 : x
  2. Step 2: Convert to fraction form
    6,102.88/8,421.99 = 3,308.38/x
  3. Step 3: Cross multiply
    6,102.88x = 8,421.99 × 3,308.38
  4. Step 4: Simplify right side
    6,102.88x = 27,863,101.17
  5. Step 5: Solve for x
    x = 27,863,101.17/6,102.88
  6. Step 6: Final answer
    x = 4,565.57

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Why These Related Problems?

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