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Finding the Fourth Proportional to 4,157.38, 5,719.98 and 3,156.85

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Solution

The fourth proportional to 4,157.38, 5,719.98 and 3,156.85 is: 4,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.38 : 5,719.98 = 3,156.85 : x
  2. Step 2: Convert to fraction form
    4,157.38/5,719.98 = 3,156.85/x
  3. Step 3: Cross multiply
    4,157.38x = 5,719.98 × 3,156.85
  4. Step 4: Simplify right side
    4,157.38x = 18,057,118.86
  5. Step 5: Solve for x
    x = 18,057,118.86/4,157.38
  6. Step 6: Final answer
    x = 4,343.39

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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.