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Finding the Fourth Proportional to 5,345.60, 8,020.12 and 2,571.91

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Solution

The fourth proportional to 5,345.60, 8,020.12 and 2,571.91 is: 3,858.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345.60 : 8,020.12 = 2,571.91 : x
  2. Step 2: Convert to fraction form
    5,345.60/8,020.12 = 2,571.91/x
  3. Step 3: Cross multiply
    5,345.60x = 8,020.12 × 2,571.91
  4. Step 4: Simplify right side
    5,345.60x = 20,626,986.73
  5. Step 5: Solve for x
    x = 20,626,986.73/5,345.60
  6. Step 6: Final answer
    x = 3,858.69

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