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Finding the Fourth Proportional to 4,784.20, 7,176.31 and 1,497.31

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Solution

The fourth proportional to 4,784.20, 7,176.31 and 1,497.31 is: 2,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.20 : 7,176.31 = 1,497.31 : x
  2. Step 2: Convert to fraction form
    4,784.20/7,176.31 = 1,497.31/x
  3. Step 3: Cross multiply
    4,784.20x = 7,176.31 × 1,497.31
  4. Step 4: Simplify right side
    4,784.20x = 10,745,160.73
  5. Step 5: Solve for x
    x = 10,745,160.73/4,784.20
  6. Step 6: Final answer
    x = 2,245.97

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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.