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Finding the Fourth Proportional to 3,918.76, 5,407.99 and 2,150.47

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Solution

The fourth proportional to 3,918.76, 5,407.99 and 2,150.47 is: 2,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.76 : 5,407.99 = 2,150.47 : x
  2. Step 2: Convert to fraction form
    3,918.76/5,407.99 = 2,150.47/x
  3. Step 3: Cross multiply
    3,918.76x = 5,407.99 × 2,150.47
  4. Step 4: Simplify right side
    3,918.76x = 11,629,720.26
  5. Step 5: Solve for x
    x = 11,629,720.26/3,918.76
  6. Step 6: Final answer
    x = 2,967.70

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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.