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Finding the Fourth Proportional to 5,578.98, 7,698.15 and 3,340.41

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Solution

The fourth proportional to 5,578.98, 7,698.15 and 3,340.41 is: 4,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.98 : 7,698.15 = 3,340.41 : x
  2. Step 2: Convert to fraction form
    5,578.98/7,698.15 = 3,340.41/x
  3. Step 3: Cross multiply
    5,578.98x = 7,698.15 × 3,340.41
  4. Step 4: Simplify right side
    5,578.98x = 25,714,977.24
  5. Step 5: Solve for x
    x = 25,714,977.24/5,578.98
  6. Step 6: Final answer
    x = 4,609.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.