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Finding the Fourth Proportional to 3,237.75, 4,468.47 and 1,821.49

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Solution

The fourth proportional to 3,237.75, 4,468.47 and 1,821.49 is: 2,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.75 : 4,468.47 = 1,821.49 : x
  2. Step 2: Convert to fraction form
    3,237.75/4,468.47 = 1,821.49/x
  3. Step 3: Cross multiply
    3,237.75x = 4,468.47 × 1,821.49
  4. Step 4: Simplify right side
    3,237.75x = 8,139,251.08
  5. Step 5: Solve for x
    x = 8,139,251.08/3,237.75
  6. Step 6: Final answer
    x = 2,513.86

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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.