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Finding the Fourth Proportional to 3,338.40, 5,007.66 and 1,029.84

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Solution

The fourth proportional to 3,338.40, 5,007.66 and 1,029.84 is: 1,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.40 : 5,007.66 = 1,029.84 : x
  2. Step 2: Convert to fraction form
    3,338.40/5,007.66 = 1,029.84/x
  3. Step 3: Cross multiply
    3,338.40x = 5,007.66 × 1,029.84
  4. Step 4: Simplify right side
    3,338.40x = 5,157,088.57
  5. Step 5: Solve for x
    x = 5,157,088.57/3,338.40
  6. Step 6: Final answer
    x = 1,544.78

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