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Finding the Fourth Proportional to 3,578.52, 5,365.80 and 1,237.44

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Solution

The fourth proportional to 3,578.52, 5,365.80 and 1,237.44 is: 1,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.52 : 5,365.80 = 1,237.44 : x
  2. Step 2: Convert to fraction form
    3,578.52/5,365.80 = 1,237.44/x
  3. Step 3: Cross multiply
    3,578.52x = 5,365.80 × 1,237.44
  4. Step 4: Simplify right side
    3,578.52x = 6,639,855.55
  5. Step 5: Solve for x
    x = 6,639,855.55/3,578.52
  6. Step 6: Final answer
    x = 1,855.48

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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.