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Finding the Fourth Proportional to 4,576.52, 6,310 and 3,867.10

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Solution

The fourth proportional to 4,576.52, 6,310 and 3,867.10 is: 5,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.52 : 6,310 = 3,867.10 : x
  2. Step 2: Convert to fraction form
    4,576.52/6,310 = 3,867.10/x
  3. Step 3: Cross multiply
    4,576.52x = 6,310 × 3,867.10
  4. Step 4: Simplify right side
    4,576.52x = 24,401,401
  5. Step 5: Solve for x
    x = 24,401,401/4,576.52
  6. Step 6: Final answer
    x = 5,331.87

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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.