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Finding the Fourth Proportional to 5,446.40, 7,517.46 and 4,560.80

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Solution

The fourth proportional to 5,446.40, 7,517.46 and 4,560.80 is: 6,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.40 : 7,517.46 = 4,560.80 : x
  2. Step 2: Convert to fraction form
    5,446.40/7,517.46 = 4,560.80/x
  3. Step 3: Cross multiply
    5,446.40x = 7,517.46 × 4,560.80
  4. Step 4: Simplify right side
    5,446.40x = 34,285,631.57
  5. Step 5: Solve for x
    x = 34,285,631.57/5,446.40
  6. Step 6: Final answer
    x = 6,295.10

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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.