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Finding the Fourth Proportional to 3,580.46, 4,941.02 and 2,008.54

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Solution

The fourth proportional to 3,580.46, 4,941.02 and 2,008.54 is: 2,771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.46 : 4,941.02 = 2,008.54 : x
  2. Step 2: Convert to fraction form
    3,580.46/4,941.02 = 2,008.54/x
  3. Step 3: Cross multiply
    3,580.46x = 4,941.02 × 2,008.54
  4. Step 4: Simplify right side
    3,580.46x = 9,924,236.31
  5. Step 5: Solve for x
    x = 9,924,236.31/3,580.46
  6. Step 6: Final answer
    x = 2,771.78

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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.