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Finding the Fourth Proportional to 6,698.40, 10,046.38 and 3,578.28

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Solution

The fourth proportional to 6,698.40, 10,046.38 and 3,578.28 is: 5,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.40 : 10,046.38 = 3,578.28 : x
  2. Step 2: Convert to fraction form
    6,698.40/10,046.38 = 3,578.28/x
  3. Step 3: Cross multiply
    6,698.40x = 10,046.38 × 3,578.28
  4. Step 4: Simplify right side
    6,698.40x = 35,948,720.72
  5. Step 5: Solve for x
    x = 35,948,720.72/6,698.40
  6. Step 6: Final answer
    x = 5,366.77

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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.