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Finding the Fourth Proportional to 4,817.40, 7,234.20 and 4,671.60

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Solution

The fourth proportional to 4,817.40, 7,234.20 and 4,671.60 is: 7,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.40 : 7,234.20 = 4,671.60 : x
  2. Step 2: Convert to fraction form
    4,817.40/7,234.20 = 4,671.60/x
  3. Step 3: Cross multiply
    4,817.40x = 7,234.20 × 4,671.60
  4. Step 4: Simplify right side
    4,817.40x = 33,795,288.72
  5. Step 5: Solve for x
    x = 33,795,288.72/4,817.40
  6. Step 6: Final answer
    x = 7,015.25

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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.