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Finding the Fourth Proportional to 4,492.72, 6,200 and 2,503.27

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Solution

The fourth proportional to 4,492.72, 6,200 and 2,503.27 is: 3,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.72 : 6,200 = 2,503.27 : x
  2. Step 2: Convert to fraction form
    4,492.72/6,200 = 2,503.27/x
  3. Step 3: Cross multiply
    4,492.72x = 6,200 × 2,503.27
  4. Step 4: Simplify right side
    4,492.72x = 15,520,274
  5. Step 5: Solve for x
    x = 15,520,274/4,492.72
  6. Step 6: Final answer
    x = 3,454.54

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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.