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Finding the Fourth Proportional to 4,308.84, 6,469.20 and 3,431.88

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Solution

The fourth proportional to 4,308.84, 6,469.20 and 3,431.88 is: 5,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.84 : 6,469.20 = 3,431.88 : x
  2. Step 2: Convert to fraction form
    4,308.84/6,469.20 = 3,431.88/x
  3. Step 3: Cross multiply
    4,308.84x = 6,469.20 × 3,431.88
  4. Step 4: Simplify right side
    4,308.84x = 22,201,518.10
  5. Step 5: Solve for x
    x = 22,201,518.10/4,308.84
  6. Step 6: Final answer
    x = 5,152.55

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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.