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Finding the Fourth Proportional to 4,615.68, 6,914.24 and 3,385.60

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Solution

The fourth proportional to 4,615.68, 6,914.24 and 3,385.60 is: 5,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.68 : 6,914.24 = 3,385.60 : x
  2. Step 2: Convert to fraction form
    4,615.68/6,914.24 = 3,385.60/x
  3. Step 3: Cross multiply
    4,615.68x = 6,914.24 × 3,385.60
  4. Step 4: Simplify right side
    4,615.68x = 23,408,850.94
  5. Step 5: Solve for x
    x = 23,408,850.94/4,615.68
  6. Step 6: Final answer
    x = 5,071.59

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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.