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Finding the Fourth Proportional to 3,745.79, 5,171.17 and 2,904.60

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Solution

The fourth proportional to 3,745.79, 5,171.17 and 2,904.60 is: 4,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.79 : 5,171.17 = 2,904.60 : x
  2. Step 2: Convert to fraction form
    3,745.79/5,171.17 = 2,904.60/x
  3. Step 3: Cross multiply
    3,745.79x = 5,171.17 × 2,904.60
  4. Step 4: Simplify right side
    3,745.79x = 15,020,180.38
  5. Step 5: Solve for x
    x = 15,020,180.38/3,745.79
  6. Step 6: Final answer
    x = 4,009.88

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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.