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Finding the Fourth Proportional to 5,096.73, 7,029 and 3,680.04

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Solution

The fourth proportional to 5,096.73, 7,029 and 3,680.04 is: 5,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.73 : 7,029 = 3,680.04 : x
  2. Step 2: Convert to fraction form
    5,096.73/7,029 = 3,680.04/x
  3. Step 3: Cross multiply
    5,096.73x = 7,029 × 3,680.04
  4. Step 4: Simplify right side
    5,096.73x = 25,867,001.16
  5. Step 5: Solve for x
    x = 25,867,001.16/5,096.73
  6. Step 6: Final answer
    x = 5,075.22

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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.