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Finding the Fourth Proportional to 3,841.75, 5,762.76 and 2,197.54

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Solution

The fourth proportional to 3,841.75, 5,762.76 and 2,197.54 is: 3,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.75 : 5,762.76 = 2,197.54 : x
  2. Step 2: Convert to fraction form
    3,841.75/5,762.76 = 2,197.54/x
  3. Step 3: Cross multiply
    3,841.75x = 5,762.76 × 2,197.54
  4. Step 4: Simplify right side
    3,841.75x = 12,663,895.61
  5. Step 5: Solve for x
    x = 12,663,895.61/3,841.75
  6. Step 6: Final answer
    x = 3,296.39

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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.