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Finding the Fourth Proportional to 4,658.11, 6,987.85 and 1,538.44

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Solution

The fourth proportional to 4,658.11, 6,987.85 and 1,538.44 is: 2,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.11 : 6,987.85 = 1,538.44 : x
  2. Step 2: Convert to fraction form
    4,658.11/6,987.85 = 1,538.44/x
  3. Step 3: Cross multiply
    4,658.11x = 6,987.85 × 1,538.44
  4. Step 4: Simplify right side
    4,658.11x = 10,750,366.64
  5. Step 5: Solve for x
    x = 10,750,366.64/4,658.11
  6. Step 6: Final answer
    x = 2,307.88

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