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Finding the Fourth Proportional to 4,127.64, 5,696.11 and 2,239.21

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Solution

The fourth proportional to 4,127.64, 5,696.11 and 2,239.21 is: 3,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.64 : 5,696.11 = 2,239.21 : x
  2. Step 2: Convert to fraction form
    4,127.64/5,696.11 = 2,239.21/x
  3. Step 3: Cross multiply
    4,127.64x = 5,696.11 × 2,239.21
  4. Step 4: Simplify right side
    4,127.64x = 12,754,786.47
  5. Step 5: Solve for x
    x = 12,754,786.47/4,127.64
  6. Step 6: Final answer
    x = 3,090.09

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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.