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Finding the Fourth Proportional to 5,773.60, 7,965.43 and 3,785.25

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Solution

The fourth proportional to 5,773.60, 7,965.43 and 3,785.25 is: 5,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.60 : 7,965.43 = 3,785.25 : x
  2. Step 2: Convert to fraction form
    5,773.60/7,965.43 = 3,785.25/x
  3. Step 3: Cross multiply
    5,773.60x = 7,965.43 × 3,785.25
  4. Step 4: Simplify right side
    5,773.60x = 30,151,143.91
  5. Step 5: Solve for x
    x = 30,151,143.91/5,773.60
  6. Step 6: Final answer
    x = 5,222.24

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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.