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Finding the Fourth Proportional to 5,687.92, 7,817.57 and 5,020.72

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Solution

The fourth proportional to 5,687.92, 7,817.57 and 5,020.72 is: 6,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.92 : 7,817.57 = 5,020.72 : x
  2. Step 2: Convert to fraction form
    5,687.92/7,817.57 = 5,020.72/x
  3. Step 3: Cross multiply
    5,687.92x = 7,817.57 × 5,020.72
  4. Step 4: Simplify right side
    5,687.92x = 39,249,830.05
  5. Step 5: Solve for x
    x = 39,249,830.05/5,687.92
  6. Step 6: Final answer
    x = 6,900.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.