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Finding the Fourth Proportional to 4,185.47, 6,269.40 and 1,991.99

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Solution

The fourth proportional to 4,185.47, 6,269.40 and 1,991.99 is: 2,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.47 : 6,269.40 = 1,991.99 : x
  2. Step 2: Convert to fraction form
    4,185.47/6,269.40 = 1,991.99/x
  3. Step 3: Cross multiply
    4,185.47x = 6,269.40 × 1,991.99
  4. Step 4: Simplify right side
    4,185.47x = 12,488,597.78
  5. Step 5: Solve for x
    x = 12,488,597.78/4,185.47
  6. Step 6: Final answer
    x = 2,983.80

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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.