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Finding the Fourth Proportional to 4,738.68, 7,102.71 and 1,615.77

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Solution

The fourth proportional to 4,738.68, 7,102.71 and 1,615.77 is: 2,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.68 : 7,102.71 = 1,615.77 : x
  2. Step 2: Convert to fraction form
    4,738.68/7,102.71 = 1,615.77/x
  3. Step 3: Cross multiply
    4,738.68x = 7,102.71 × 1,615.77
  4. Step 4: Simplify right side
    4,738.68x = 11,476,345.74
  5. Step 5: Solve for x
    x = 11,476,345.74/4,738.68
  6. Step 6: Final answer
    x = 2,421.84

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