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Finding the Fourth Proportional to 4,509.60, 6,228 and 3,451.20

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Solution

The fourth proportional to 4,509.60, 6,228 and 3,451.20 is: 4,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.60 : 6,228 = 3,451.20 : x
  2. Step 2: Convert to fraction form
    4,509.60/6,228 = 3,451.20/x
  3. Step 3: Cross multiply
    4,509.60x = 6,228 × 3,451.20
  4. Step 4: Simplify right side
    4,509.60x = 21,494,073.60
  5. Step 5: Solve for x
    x = 21,494,073.60/4,509.60
  6. Step 6: Final answer
    x = 4,766.29

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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.