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Finding the Fourth Proportional to 3,735.92, 5,152.64 and 2,409.76

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Solution

The fourth proportional to 3,735.92, 5,152.64 and 2,409.76 is: 3,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.92 : 5,152.64 = 2,409.76 : x
  2. Step 2: Convert to fraction form
    3,735.92/5,152.64 = 2,409.76/x
  3. Step 3: Cross multiply
    3,735.92x = 5,152.64 × 2,409.76
  4. Step 4: Simplify right side
    3,735.92x = 12,416,625.77
  5. Step 5: Solve for x
    x = 12,416,625.77/3,735.92
  6. Step 6: Final answer
    x = 3,323.58

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