Home / 5,198-7,175.40-3,706.16

Finding the Fourth Proportional to 5,198, 7,175.40 and 3,706.16

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Solution

The fourth proportional to 5,198, 7,175.40 and 3,706.16 is: 5,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198 : 7,175.40 = 3,706.16 : x
  2. Step 2: Convert to fraction form
    5,198/7,175.40 = 3,706.16/x
  3. Step 3: Cross multiply
    5,198x = 7,175.40 × 3,706.16
  4. Step 4: Simplify right side
    5,198x = 26,593,180.46
  5. Step 5: Solve for x
    x = 26,593,180.46/5,198
  6. Step 6: Final answer
    x = 5,116.04

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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.