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Finding the Fourth Proportional to 3,771.61, 5,204.58 and 2,278.64

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Solution

The fourth proportional to 3,771.61, 5,204.58 and 2,278.64 is: 3,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.61 : 5,204.58 = 2,278.64 : x
  2. Step 2: Convert to fraction form
    3,771.61/5,204.58 = 2,278.64/x
  3. Step 3: Cross multiply
    3,771.61x = 5,204.58 × 2,278.64
  4. Step 4: Simplify right side
    3,771.61x = 11,859,364.17
  5. Step 5: Solve for x
    x = 11,859,364.17/3,771.61
  6. Step 6: Final answer
    x = 3,144.38

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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.