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Finding the Fourth Proportional to 5,762.16, 7,951.67 and 3,209.91

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Solution

The fourth proportional to 5,762.16, 7,951.67 and 3,209.91 is: 4,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.16 : 7,951.67 = 3,209.91 : x
  2. Step 2: Convert to fraction form
    5,762.16/7,951.67 = 3,209.91/x
  3. Step 3: Cross multiply
    5,762.16x = 7,951.67 × 3,209.91
  4. Step 4: Simplify right side
    5,762.16x = 25,524,129.00
  5. Step 5: Solve for x
    x = 25,524,129.00/5,762.16
  6. Step 6: Final answer
    x = 4,429.61

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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.