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Finding the Fourth Proportional to 3,578.45, 5,368.55 and 1,935

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Solution

The fourth proportional to 3,578.45, 5,368.55 and 1,935 is: 2,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.45 : 5,368.55 = 1,935 : x
  2. Step 2: Convert to fraction form
    3,578.45/5,368.55 = 1,935/x
  3. Step 3: Cross multiply
    3,578.45x = 5,368.55 × 1,935
  4. Step 4: Simplify right side
    3,578.45x = 10,388,134.58
  5. Step 5: Solve for x
    x = 10,388,134.58/3,578.45
  6. Step 6: Final answer
    x = 2,902.97

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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.