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Finding the Fourth Proportional to 4,817.60, 7,228.02 and 1,896.20

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Solution

The fourth proportional to 4,817.60, 7,228.02 and 1,896.20 is: 2,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.60 : 7,228.02 = 1,896.20 : x
  2. Step 2: Convert to fraction form
    4,817.60/7,228.02 = 1,896.20/x
  3. Step 3: Cross multiply
    4,817.60x = 7,228.02 × 1,896.20
  4. Step 4: Simplify right side
    4,817.60x = 13,705,771.52
  5. Step 5: Solve for x
    x = 13,705,771.52/4,817.60
  6. Step 6: Final answer
    x = 2,844.94

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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.