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Finding the Fourth Proportional to 3,690.69, 5,538.47 and 2,025.47

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Solution

The fourth proportional to 3,690.69, 5,538.47 and 2,025.47 is: 3,039.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.69 : 5,538.47 = 2,025.47 : x
  2. Step 2: Convert to fraction form
    3,690.69/5,538.47 = 2,025.47/x
  3. Step 3: Cross multiply
    3,690.69x = 5,538.47 × 2,025.47
  4. Step 4: Simplify right side
    3,690.69x = 11,217,967.01
  5. Step 5: Solve for x
    x = 11,217,967.01/3,690.69
  6. Step 6: Final answer
    x = 3,039.53

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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.