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Finding the Fourth Proportional to 4,503, 6,214.02 and 2,513.50

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Solution

The fourth proportional to 4,503, 6,214.02 and 2,513.50 is: 3,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503 : 6,214.02 = 2,513.50 : x
  2. Step 2: Convert to fraction form
    4,503/6,214.02 = 2,513.50/x
  3. Step 3: Cross multiply
    4,503x = 6,214.02 × 2,513.50
  4. Step 4: Simplify right side
    4,503x = 15,618,939.27
  5. Step 5: Solve for x
    x = 15,618,939.27/4,503
  6. Step 6: Final answer
    x = 3,468.56

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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.