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Finding the Fourth Proportional to 5,723.61, 7,898.67 and 3,733.03

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Solution

The fourth proportional to 5,723.61, 7,898.67 and 3,733.03 is: 5,151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.61 : 7,898.67 = 3,733.03 : x
  2. Step 2: Convert to fraction form
    5,723.61/7,898.67 = 3,733.03/x
  3. Step 3: Cross multiply
    5,723.61x = 7,898.67 × 3,733.03
  4. Step 4: Simplify right side
    5,723.61x = 29,485,949.23
  5. Step 5: Solve for x
    x = 29,485,949.23/5,723.61
  6. Step 6: Final answer
    x = 5,151.63

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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.