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Finding the Fourth Proportional to 4,896.47, 6,757.10 and 2,658.32

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Solution

The fourth proportional to 4,896.47, 6,757.10 and 2,658.32 is: 3,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.47 : 6,757.10 = 2,658.32 : x
  2. Step 2: Convert to fraction form
    4,896.47/6,757.10 = 2,658.32/x
  3. Step 3: Cross multiply
    4,896.47x = 6,757.10 × 2,658.32
  4. Step 4: Simplify right side
    4,896.47x = 17,962,520.78
  5. Step 5: Solve for x
    x = 17,962,520.78/4,896.47
  6. Step 6: Final answer
    x = 3,668.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.