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Finding the Fourth Proportional to 5,747.66, 7,931.66 and 3,229.80

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Solution

The fourth proportional to 5,747.66, 7,931.66 and 3,229.80 is: 4,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.66 : 7,931.66 = 3,229.80 : x
  2. Step 2: Convert to fraction form
    5,747.66/7,931.66 = 3,229.80/x
  3. Step 3: Cross multiply
    5,747.66x = 7,931.66 × 3,229.80
  4. Step 4: Simplify right side
    5,747.66x = 25,617,675.47
  5. Step 5: Solve for x
    x = 25,617,675.47/5,747.66
  6. Step 6: Final answer
    x = 4,457.06

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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.