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Finding the Fourth Proportional to 4,077.99, 5,627.61 and 2,399.38

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Solution

The fourth proportional to 4,077.99, 5,627.61 and 2,399.38 is: 3,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.99 : 5,627.61 = 2,399.38 : x
  2. Step 2: Convert to fraction form
    4,077.99/5,627.61 = 2,399.38/x
  3. Step 3: Cross multiply
    4,077.99x = 5,627.61 × 2,399.38
  4. Step 4: Simplify right side
    4,077.99x = 13,502,760.81
  5. Step 5: Solve for x
    x = 13,502,760.81/4,077.99
  6. Step 6: Final answer
    x = 3,311.13

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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.