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Finding the Fourth Proportional to 4,658.98, 6,986.97 and 1,538.40

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Solution

The fourth proportional to 4,658.98, 6,986.97 and 1,538.40 is: 2,307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.98 : 6,986.97 = 1,538.40 : x
  2. Step 2: Convert to fraction form
    4,658.98/6,986.97 = 1,538.40/x
  3. Step 3: Cross multiply
    4,658.98x = 6,986.97 × 1,538.40
  4. Step 4: Simplify right side
    4,658.98x = 10,748,754.65
  5. Step 5: Solve for x
    x = 10,748,754.65/4,658.98
  6. Step 6: Final answer
    x = 2,307.11

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