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Finding the Fourth Proportional to 5,462.76, 7,538.67 and 3,104.94

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Solution

The fourth proportional to 5,462.76, 7,538.67 and 3,104.94 is: 4,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.76 : 7,538.67 = 3,104.94 : x
  2. Step 2: Convert to fraction form
    5,462.76/7,538.67 = 3,104.94/x
  3. Step 3: Cross multiply
    5,462.76x = 7,538.67 × 3,104.94
  4. Step 4: Simplify right side
    5,462.76x = 23,407,118.03
  5. Step 5: Solve for x
    x = 23,407,118.03/5,462.76
  6. Step 6: Final answer
    x = 4,284.85

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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.