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Finding the Fourth Proportional to 6,214.53, 8,576.06 and 3,420.03

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Solution

The fourth proportional to 6,214.53, 8,576.06 and 3,420.03 is: 4,719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.53 : 8,576.06 = 3,420.03 : x
  2. Step 2: Convert to fraction form
    6,214.53/8,576.06 = 3,420.03/x
  3. Step 3: Cross multiply
    6,214.53x = 8,576.06 × 3,420.03
  4. Step 4: Simplify right side
    6,214.53x = 29,330,365.38
  5. Step 5: Solve for x
    x = 29,330,365.38/6,214.53
  6. Step 6: Final answer
    x = 4,719.64

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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.