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Finding the Fourth Proportional to 4,783.68, 7,160.48 and 3,294.16

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Solution

The fourth proportional to 4,783.68, 7,160.48 and 3,294.16 is: 4,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.68 : 7,160.48 = 3,294.16 : x
  2. Step 2: Convert to fraction form
    4,783.68/7,160.48 = 3,294.16/x
  3. Step 3: Cross multiply
    4,783.68x = 7,160.48 × 3,294.16
  4. Step 4: Simplify right side
    4,783.68x = 23,587,766.80
  5. Step 5: Solve for x
    x = 23,587,766.80/4,783.68
  6. Step 6: Final answer
    x = 4,930.88

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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.