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Finding the Fourth Proportional to 4,896.60, 7,357.65 and 4,576.65

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Solution

The fourth proportional to 4,896.60, 7,357.65 and 4,576.65 is: 6,876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.60 : 7,357.65 = 4,576.65 : x
  2. Step 2: Convert to fraction form
    4,896.60/7,357.65 = 4,576.65/x
  3. Step 3: Cross multiply
    4,896.60x = 7,357.65 × 4,576.65
  4. Step 4: Simplify right side
    4,896.60x = 33,673,388.87
  5. Step 5: Solve for x
    x = 33,673,388.87/4,896.60
  6. Step 6: Final answer
    x = 6,876.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.