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Finding the Fourth Proportional to 3,486.48, 5,231.42 and 1,538.44

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Solution

The fourth proportional to 3,486.48, 5,231.42 and 1,538.44 is: 2,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.48 : 5,231.42 = 1,538.44 : x
  2. Step 2: Convert to fraction form
    3,486.48/5,231.42 = 1,538.44/x
  3. Step 3: Cross multiply
    3,486.48x = 5,231.42 × 1,538.44
  4. Step 4: Simplify right side
    3,486.48x = 8,048,225.78
  5. Step 5: Solve for x
    x = 8,048,225.78/3,486.48
  6. Step 6: Final answer
    x = 2,308.41

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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.