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Finding the Fourth Proportional to 4,966.40, 7,433.40 and 3,864.80

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Solution

The fourth proportional to 4,966.40, 7,433.40 and 3,864.80 is: 5,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.40 : 7,433.40 = 3,864.80 : x
  2. Step 2: Convert to fraction form
    4,966.40/7,433.40 = 3,864.80/x
  3. Step 3: Cross multiply
    4,966.40x = 7,433.40 × 3,864.80
  4. Step 4: Simplify right side
    4,966.40x = 28,728,604.32
  5. Step 5: Solve for x
    x = 28,728,604.32/4,966.40
  6. Step 6: Final answer
    x = 5,784.59

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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.