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Finding the Fourth Proportional to 5,578.37, 7,698.40 and 3,339.82

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Solution

The fourth proportional to 5,578.37, 7,698.40 and 3,339.82 is: 4,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.37 : 7,698.40 = 3,339.82 : x
  2. Step 2: Convert to fraction form
    5,578.37/7,698.40 = 3,339.82/x
  3. Step 3: Cross multiply
    5,578.37x = 7,698.40 × 3,339.82
  4. Step 4: Simplify right side
    5,578.37x = 25,711,270.29
  5. Step 5: Solve for x
    x = 25,711,270.29/5,578.37
  6. Step 6: Final answer
    x = 4,609.10

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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.