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Finding the Fourth Proportional to 4,997.94, 7,496.92 and 1,535.18

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Solution

The fourth proportional to 4,997.94, 7,496.92 and 1,535.18 is: 2,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.94 : 7,496.92 = 1,535.18 : x
  2. Step 2: Convert to fraction form
    4,997.94/7,496.92 = 1,535.18/x
  3. Step 3: Cross multiply
    4,997.94x = 7,496.92 × 1,535.18
  4. Step 4: Simplify right side
    4,997.94x = 11,509,121.65
  5. Step 5: Solve for x
    x = 11,509,121.65/4,997.94
  6. Step 6: Final answer
    x = 2,302.77

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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.