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Finding the Fourth Proportional to 3,777.04, 5,211.12 and 2,204.80

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Solution

The fourth proportional to 3,777.04, 5,211.12 and 2,204.80 is: 3,041.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.04 : 5,211.12 = 2,204.80 : x
  2. Step 2: Convert to fraction form
    3,777.04/5,211.12 = 2,204.80/x
  3. Step 3: Cross multiply
    3,777.04x = 5,211.12 × 2,204.80
  4. Step 4: Simplify right side
    3,777.04x = 11,489,477.38
  5. Step 5: Solve for x
    x = 11,489,477.38/3,777.04
  6. Step 6: Final answer
    x = 3,041.93

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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.