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Finding the Fourth Proportional to 4,591.28, 6,895 and 3,421.60

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Solution

The fourth proportional to 4,591.28, 6,895 and 3,421.60 is: 5,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.28 : 6,895 = 3,421.60 : x
  2. Step 2: Convert to fraction form
    4,591.28/6,895 = 3,421.60/x
  3. Step 3: Cross multiply
    4,591.28x = 6,895 × 3,421.60
  4. Step 4: Simplify right side
    4,591.28x = 23,591,932
  5. Step 5: Solve for x
    x = 23,591,932/4,591.28
  6. Step 6: Final answer
    x = 5,138.42

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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.