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Finding the Fourth Proportional to 4,180.60, 5,760.48 and 4,180.60

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Solution

The fourth proportional to 4,180.60, 5,760.48 and 4,180.60 is: 5,760.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.60 : 5,760.48 = 4,180.60 : x
  2. Step 2: Convert to fraction form
    4,180.60/5,760.48 = 4,180.60/x
  3. Step 3: Cross multiply
    4,180.60x = 5,760.48 × 4,180.60
  4. Step 4: Simplify right side
    4,180.60x = 24,082,262.69
  5. Step 5: Solve for x
    x = 24,082,262.69/4,180.60
  6. Step 6: Final answer
    x = 5,760.48

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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.