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Finding the Fourth Proportional to 3,817.30, 5,724.14 and 1,478.40

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Solution

The fourth proportional to 3,817.30, 5,724.14 and 1,478.40 is: 2,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.30 : 5,724.14 = 1,478.40 : x
  2. Step 2: Convert to fraction form
    3,817.30/5,724.14 = 1,478.40/x
  3. Step 3: Cross multiply
    3,817.30x = 5,724.14 × 1,478.40
  4. Step 4: Simplify right side
    3,817.30x = 8,462,584.39
  5. Step 5: Solve for x
    x = 8,462,584.39/3,817.30
  6. Step 6: Final answer
    x = 2,216.90

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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.