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Finding the Fourth Proportional to 3,570.92, 5,352.06 and 1,838.60

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Solution

The fourth proportional to 3,570.92, 5,352.06 and 1,838.60 is: 2,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.92 : 5,352.06 = 1,838.60 : x
  2. Step 2: Convert to fraction form
    3,570.92/5,352.06 = 1,838.60/x
  3. Step 3: Cross multiply
    3,570.92x = 5,352.06 × 1,838.60
  4. Step 4: Simplify right side
    3,570.92x = 9,840,297.52
  5. Step 5: Solve for x
    x = 9,840,297.52/3,570.92
  6. Step 6: Final answer
    x = 2,755.68

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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.