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Finding the Fourth Proportional to 3,237.99, 4,468.14 and 1,821.84

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Solution

The fourth proportional to 3,237.99, 4,468.14 and 1,821.84 is: 2,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.99 : 4,468.14 = 1,821.84 : x
  2. Step 2: Convert to fraction form
    3,237.99/4,468.14 = 1,821.84/x
  3. Step 3: Cross multiply
    3,237.99x = 4,468.14 × 1,821.84
  4. Step 4: Simplify right side
    3,237.99x = 8,140,236.18
  5. Step 5: Solve for x
    x = 8,140,236.18/3,237.99
  6. Step 6: Final answer
    x = 2,513.98

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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.