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Finding the Fourth Proportional to 5,144.57, 7,098.59 and 3,020.34

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Solution

The fourth proportional to 5,144.57, 7,098.59 and 3,020.34 is: 4,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.57 : 7,098.59 = 3,020.34 : x
  2. Step 2: Convert to fraction form
    5,144.57/7,098.59 = 3,020.34/x
  3. Step 3: Cross multiply
    5,144.57x = 7,098.59 × 3,020.34
  4. Step 4: Simplify right side
    5,144.57x = 21,440,162.87
  5. Step 5: Solve for x
    x = 21,440,162.87/5,144.57
  6. Step 6: Final answer
    x = 4,167.54

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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.