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Finding the Fourth Proportional to 5,201.50, 7,802.20 and 1,503.70

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Solution

The fourth proportional to 5,201.50, 7,802.20 and 1,503.70 is: 2,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.50 : 7,802.20 = 1,503.70 : x
  2. Step 2: Convert to fraction form
    5,201.50/7,802.20 = 1,503.70/x
  3. Step 3: Cross multiply
    5,201.50x = 7,802.20 × 1,503.70
  4. Step 4: Simplify right side
    5,201.50x = 11,732,168.14
  5. Step 5: Solve for x
    x = 11,732,168.14/5,201.50
  6. Step 6: Final answer
    x = 2,255.54

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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.