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Finding the Fourth Proportional to 3,697.24, 5,543.43 and 1,505.38

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Solution

The fourth proportional to 3,697.24, 5,543.43 and 1,505.38 is: 2,257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.24 : 5,543.43 = 1,505.38 : x
  2. Step 2: Convert to fraction form
    3,697.24/5,543.43 = 1,505.38/x
  3. Step 3: Cross multiply
    3,697.24x = 5,543.43 × 1,505.38
  4. Step 4: Simplify right side
    3,697.24x = 8,344,968.65
  5. Step 5: Solve for x
    x = 8,344,968.65/3,697.24
  6. Step 6: Final answer
    x = 2,257.08

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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.