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Finding the Fourth Proportional to 4,085, 6,127.80 and 2,996.24

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Solution

The fourth proportional to 4,085, 6,127.80 and 2,996.24 is: 4,494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085 : 6,127.80 = 2,996.24 : x
  2. Step 2: Convert to fraction form
    4,085/6,127.80 = 2,996.24/x
  3. Step 3: Cross multiply
    4,085x = 6,127.80 × 2,996.24
  4. Step 4: Simplify right side
    4,085x = 18,360,359.47
  5. Step 5: Solve for x
    x = 18,360,359.47/4,085
  6. Step 6: Final answer
    x = 4,494.58

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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.