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Finding the Fourth Proportional to 4,896.85, 6,758.72 and 3,009.42

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Solution

The fourth proportional to 4,896.85, 6,758.72 and 3,009.42 is: 4,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.85 : 6,758.72 = 3,009.42 : x
  2. Step 2: Convert to fraction form
    4,896.85/6,758.72 = 3,009.42/x
  3. Step 3: Cross multiply
    4,896.85x = 6,758.72 × 3,009.42
  4. Step 4: Simplify right side
    4,896.85x = 20,339,812.10
  5. Step 5: Solve for x
    x = 20,339,812.10/4,896.85
  6. Step 6: Final answer
    x = 4,153.65

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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.