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Finding the Fourth Proportional to 6,213.50, 8,575.20 and 3,419.54

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Solution

The fourth proportional to 6,213.50, 8,575.20 and 3,419.54 is: 4,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.50 : 8,575.20 = 3,419.54 : x
  2. Step 2: Convert to fraction form
    6,213.50/8,575.20 = 3,419.54/x
  3. Step 3: Cross multiply
    6,213.50x = 8,575.20 × 3,419.54
  4. Step 4: Simplify right side
    6,213.50x = 29,323,239.41
  5. Step 5: Solve for x
    x = 29,323,239.41/6,213.50
  6. Step 6: Final answer
    x = 4,719.28

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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.