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Finding the Fourth Proportional to 5,723.60, 7,894.49 and 5,253.02

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Solution

The fourth proportional to 5,723.60, 7,894.49 and 5,253.02 is: 7,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.60 : 7,894.49 = 5,253.02 : x
  2. Step 2: Convert to fraction form
    5,723.60/7,894.49 = 5,253.02/x
  3. Step 3: Cross multiply
    5,723.60x = 7,894.49 × 5,253.02
  4. Step 4: Simplify right side
    5,723.60x = 41,469,887.59
  5. Step 5: Solve for x
    x = 41,469,887.59/5,723.60
  6. Step 6: Final answer
    x = 7,245.42

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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.