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Finding the Fourth Proportional to 4,178.88, 5,765.64 and 3,291.84

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Solution

The fourth proportional to 4,178.88, 5,765.64 and 3,291.84 is: 4,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.88 : 5,765.64 = 3,291.84 : x
  2. Step 2: Convert to fraction form
    4,178.88/5,765.64 = 3,291.84/x
  3. Step 3: Cross multiply
    4,178.88x = 5,765.64 × 3,291.84
  4. Step 4: Simplify right side
    4,178.88x = 18,979,564.38
  5. Step 5: Solve for x
    x = 18,979,564.38/4,178.88
  6. Step 6: Final answer
    x = 4,541.78

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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.