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Finding the Fourth Proportional to 3,277.44, 4,917.60 and 1,429.92

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Solution

The fourth proportional to 3,277.44, 4,917.60 and 1,429.92 is: 2,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.44 : 4,917.60 = 1,429.92 : x
  2. Step 2: Convert to fraction form
    3,277.44/4,917.60 = 1,429.92/x
  3. Step 3: Cross multiply
    3,277.44x = 4,917.60 × 1,429.92
  4. Step 4: Simplify right side
    3,277.44x = 7,031,774.59
  5. Step 5: Solve for x
    x = 7,031,774.59/3,277.44
  6. Step 6: Final answer
    x = 2,145.51

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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.