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Finding the Fourth Proportional to 4,805.24, 7,196.66 and 3,700.84

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Solution

The fourth proportional to 4,805.24, 7,196.66 and 3,700.84 is: 5,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.24 : 7,196.66 = 3,700.84 : x
  2. Step 2: Convert to fraction form
    4,805.24/7,196.66 = 3,700.84/x
  3. Step 3: Cross multiply
    4,805.24x = 7,196.66 × 3,700.84
  4. Step 4: Simplify right side
    4,805.24x = 26,633,687.19
  5. Step 5: Solve for x
    x = 26,633,687.19/4,805.24
  6. Step 6: Final answer
    x = 5,542.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.