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Finding the Fourth Proportional to 4,896.81, 6,757.62 and 2,658.70

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Solution

The fourth proportional to 4,896.81, 6,757.62 and 2,658.70 is: 3,669.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.81 : 6,757.62 = 2,658.70 : x
  2. Step 2: Convert to fraction form
    4,896.81/6,757.62 = 2,658.70/x
  3. Step 3: Cross multiply
    4,896.81x = 6,757.62 × 2,658.70
  4. Step 4: Simplify right side
    4,896.81x = 17,966,484.29
  5. Step 5: Solve for x
    x = 17,966,484.29/4,896.81
  6. Step 6: Final answer
    x = 3,669.02

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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.