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Finding the Fourth Proportional to 5,614.02, 7,736.85 and 4,039.38

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Solution

The fourth proportional to 5,614.02, 7,736.85 and 4,039.38 is: 5,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.02 : 7,736.85 = 4,039.38 : x
  2. Step 2: Convert to fraction form
    5,614.02/7,736.85 = 4,039.38/x
  3. Step 3: Cross multiply
    5,614.02x = 7,736.85 × 4,039.38
  4. Step 4: Simplify right side
    5,614.02x = 31,252,077.15
  5. Step 5: Solve for x
    x = 31,252,077.15/5,614.02
  6. Step 6: Final answer
    x = 5,566.79

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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.