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Finding the Fourth Proportional to 4,199.38, 5,795.16 and 2,311.15

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Solution

The fourth proportional to 4,199.38, 5,795.16 and 2,311.15 is: 3,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.38 : 5,795.16 = 2,311.15 : x
  2. Step 2: Convert to fraction form
    4,199.38/5,795.16 = 2,311.15/x
  3. Step 3: Cross multiply
    4,199.38x = 5,795.16 × 2,311.15
  4. Step 4: Simplify right side
    4,199.38x = 13,393,484.75
  5. Step 5: Solve for x
    x = 13,393,484.75/4,199.38
  6. Step 6: Final answer
    x = 3,189.40

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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.