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Finding the Fourth Proportional to 3,776.83, 5,209.98 and 2,285.23

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Solution

The fourth proportional to 3,776.83, 5,209.98 and 2,285.23 is: 3,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.83 : 5,209.98 = 2,285.23 : x
  2. Step 2: Convert to fraction form
    3,776.83/5,209.98 = 2,285.23/x
  3. Step 3: Cross multiply
    3,776.83x = 5,209.98 × 2,285.23
  4. Step 4: Simplify right side
    3,776.83x = 11,906,002.60
  5. Step 5: Solve for x
    x = 11,906,002.60/3,776.83
  6. Step 6: Final answer
    x = 3,152.38

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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.