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Finding the Fourth Proportional to 5,503.96, 8,250.54 and 2,215

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Solution

The fourth proportional to 5,503.96, 8,250.54 and 2,215 is: 3,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.96 : 8,250.54 = 2,215 : x
  2. Step 2: Convert to fraction form
    5,503.96/8,250.54 = 2,215/x
  3. Step 3: Cross multiply
    5,503.96x = 8,250.54 × 2,215
  4. Step 4: Simplify right side
    5,503.96x = 18,274,946.10
  5. Step 5: Solve for x
    x = 18,274,946.10/5,503.96
  6. Step 6: Final answer
    x = 3,320.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.