Home / 5,102.38-7,648.64-2,792.26

Finding the Fourth Proportional to 5,102.38, 7,648.64 and 2,792.26

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Solution

The fourth proportional to 5,102.38, 7,648.64 and 2,792.26 is: 4,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.38 : 7,648.64 = 2,792.26 : x
  2. Step 2: Convert to fraction form
    5,102.38/7,648.64 = 2,792.26/x
  3. Step 3: Cross multiply
    5,102.38x = 7,648.64 × 2,792.26
  4. Step 4: Simplify right side
    5,102.38x = 21,356,991.53
  5. Step 5: Solve for x
    x = 21,356,991.53/5,102.38
  6. Step 6: Final answer
    x = 4,185.69

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Why These Related Problems?

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