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Finding the Fourth Proportional to 4,658.47, 6,986.22 and 1,537.89

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Solution

The fourth proportional to 4,658.47, 6,986.22 and 1,537.89 is: 2,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.47 : 6,986.22 = 1,537.89 : x
  2. Step 2: Convert to fraction form
    4,658.47/6,986.22 = 1,537.89/x
  3. Step 3: Cross multiply
    4,658.47x = 6,986.22 × 1,537.89
  4. Step 4: Simplify right side
    4,658.47x = 10,744,069.84
  5. Step 5: Solve for x
    x = 10,744,069.84/4,658.47
  6. Step 6: Final answer
    x = 2,306.35

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