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Finding the Fourth Proportional to 5,762.66, 7,951.82 and 3,244.19

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Solution

The fourth proportional to 5,762.66, 7,951.82 and 3,244.19 is: 4,476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.66 : 7,951.82 = 3,244.19 : x
  2. Step 2: Convert to fraction form
    5,762.66/7,951.82 = 3,244.19/x
  3. Step 3: Cross multiply
    5,762.66x = 7,951.82 × 3,244.19
  4. Step 4: Simplify right side
    5,762.66x = 25,797,158.95
  5. Step 5: Solve for x
    x = 25,797,158.95/5,762.66
  6. Step 6: Final answer
    x = 4,476.61

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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.