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Finding the Fourth Proportional to 4,658.58, 6,977.34 and 2,461.86

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Solution

The fourth proportional to 4,658.58, 6,977.34 and 2,461.86 is: 3,687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.58 : 6,977.34 = 2,461.86 : x
  2. Step 2: Convert to fraction form
    4,658.58/6,977.34 = 2,461.86/x
  3. Step 3: Cross multiply
    4,658.58x = 6,977.34 × 2,461.86
  4. Step 4: Simplify right side
    4,658.58x = 17,177,234.25
  5. Step 5: Solve for x
    x = 17,177,234.25/4,658.58
  6. Step 6: Final answer
    x = 3,687.23

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