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Finding the Fourth Proportional to 4,968.48, 7,443.76 and 3,984.04

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Solution

The fourth proportional to 4,968.48, 7,443.76 and 3,984.04 is: 5,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.48 : 7,443.76 = 3,984.04 : x
  2. Step 2: Convert to fraction form
    4,968.48/7,443.76 = 3,984.04/x
  3. Step 3: Cross multiply
    4,968.48x = 7,443.76 × 3,984.04
  4. Step 4: Simplify right side
    4,968.48x = 29,656,237.59
  5. Step 5: Solve for x
    x = 29,656,237.59/4,968.48
  6. Step 6: Final answer
    x = 5,968.88

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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.