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Finding the Fourth Proportional to 3,917.53, 5,405.94 and 2,148.76

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Solution

The fourth proportional to 3,917.53, 5,405.94 and 2,148.76 is: 2,965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.53 : 5,405.94 = 2,148.76 : x
  2. Step 2: Convert to fraction form
    3,917.53/5,405.94 = 2,148.76/x
  3. Step 3: Cross multiply
    3,917.53x = 5,405.94 × 2,148.76
  4. Step 4: Simplify right side
    3,917.53x = 11,616,067.63
  5. Step 5: Solve for x
    x = 11,616,067.63/3,917.53
  6. Step 6: Final answer
    x = 2,965.15

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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.