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Finding the Fourth Proportional to 3,237.85, 4,468.19 and 1,821.43

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Solution

The fourth proportional to 3,237.85, 4,468.19 and 1,821.43 is: 2,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.85 : 4,468.19 = 1,821.43 : x
  2. Step 2: Convert to fraction form
    3,237.85/4,468.19 = 1,821.43/x
  3. Step 3: Cross multiply
    3,237.85x = 4,468.19 × 1,821.43
  4. Step 4: Simplify right side
    3,237.85x = 8,138,475.03
  5. Step 5: Solve for x
    x = 8,138,475.03/3,237.85
  6. Step 6: Final answer
    x = 2,513.54

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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.