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Finding the Fourth Proportional to 5,494.16, 8,241.56 and 2,415.76

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Solution

The fourth proportional to 5,494.16, 8,241.56 and 2,415.76 is: 3,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.16 : 8,241.56 = 2,415.76 : x
  2. Step 2: Convert to fraction form
    5,494.16/8,241.56 = 2,415.76/x
  3. Step 3: Cross multiply
    5,494.16x = 8,241.56 × 2,415.76
  4. Step 4: Simplify right side
    5,494.16x = 19,909,630.99
  5. Step 5: Solve for x
    x = 19,909,630.99/5,494.16
  6. Step 6: Final answer
    x = 3,623.78

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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.