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Finding the Fourth Proportional to 3,338.44, 5,007.72 and 1,029.94

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Solution

The fourth proportional to 3,338.44, 5,007.72 and 1,029.94 is: 1,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.44 : 5,007.72 = 1,029.94 : x
  2. Step 2: Convert to fraction form
    3,338.44/5,007.72 = 1,029.94/x
  3. Step 3: Cross multiply
    3,338.44x = 5,007.72 × 1,029.94
  4. Step 4: Simplify right side
    3,338.44x = 5,157,642.48
  5. Step 5: Solve for x
    x = 5,157,642.48/3,338.44
  6. Step 6: Final answer
    x = 1,544.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.