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Finding the Fourth Proportional to 5,142.37, 7,096.49 and 2,904.27

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Solution

The fourth proportional to 5,142.37, 7,096.49 and 2,904.27 is: 4,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.37 : 7,096.49 = 2,904.27 : x
  2. Step 2: Convert to fraction form
    5,142.37/7,096.49 = 2,904.27/x
  3. Step 3: Cross multiply
    5,142.37x = 7,096.49 × 2,904.27
  4. Step 4: Simplify right side
    5,142.37x = 20,610,119.38
  5. Step 5: Solve for x
    x = 20,610,119.38/5,142.37
  6. Step 6: Final answer
    x = 4,007.90

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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.