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Finding the Fourth Proportional to 6,214.50, 8,576.58 and 3,420.54

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Solution

The fourth proportional to 6,214.50, 8,576.58 and 3,420.54 is: 4,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.50 : 8,576.58 = 3,420.54 : x
  2. Step 2: Convert to fraction form
    6,214.50/8,576.58 = 3,420.54/x
  3. Step 3: Cross multiply
    6,214.50x = 8,576.58 × 3,420.54
  4. Step 4: Simplify right side
    6,214.50x = 29,336,534.95
  5. Step 5: Solve for x
    x = 29,336,534.95/6,214.50
  6. Step 6: Final answer
    x = 4,720.66

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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.