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Finding the Fourth Proportional to 3,918.44, 5,407.56 and 2,240

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Solution

The fourth proportional to 3,918.44, 5,407.56 and 2,240 is: 3,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.44 : 5,407.56 = 2,240 : x
  2. Step 2: Convert to fraction form
    3,918.44/5,407.56 = 2,240/x
  3. Step 3: Cross multiply
    3,918.44x = 5,407.56 × 2,240
  4. Step 4: Simplify right side
    3,918.44x = 12,112,934.40
  5. Step 5: Solve for x
    x = 12,112,934.40/3,918.44
  6. Step 6: Final answer
    x = 3,091.26

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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.