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Finding the Fourth Proportional to 3,633.36, 5,015.59 and 3,076.74

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Solution

The fourth proportional to 3,633.36, 5,015.59 and 3,076.74 is: 4,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.36 : 5,015.59 = 3,076.74 : x
  2. Step 2: Convert to fraction form
    3,633.36/5,015.59 = 3,076.74/x
  3. Step 3: Cross multiply
    3,633.36x = 5,015.59 × 3,076.74
  4. Step 4: Simplify right side
    3,633.36x = 15,431,666.38
  5. Step 5: Solve for x
    x = 15,431,666.38/3,633.36
  6. Step 6: Final answer
    x = 4,247.22

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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.