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Finding the Fourth Proportional to 4,896.28, 6,756.86 and 2,658.15

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Solution

The fourth proportional to 4,896.28, 6,756.86 and 2,658.15 is: 3,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.28 : 6,756.86 = 2,658.15 : x
  2. Step 2: Convert to fraction form
    4,896.28/6,756.86 = 2,658.15/x
  3. Step 3: Cross multiply
    4,896.28x = 6,756.86 × 2,658.15
  4. Step 4: Simplify right side
    4,896.28x = 17,960,747.41
  5. Step 5: Solve for x
    x = 17,960,747.41/4,896.28
  6. Step 6: Final answer
    x = 3,668.24

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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.