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Finding the Fourth Proportional to 4,096.47, 6,144.87 and 1,323.20

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Solution

The fourth proportional to 4,096.47, 6,144.87 and 1,323.20 is: 1,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.47 : 6,144.87 = 1,323.20 : x
  2. Step 2: Convert to fraction form
    4,096.47/6,144.87 = 1,323.20/x
  3. Step 3: Cross multiply
    4,096.47x = 6,144.87 × 1,323.20
  4. Step 4: Simplify right side
    4,096.47x = 8,130,861.26
  5. Step 5: Solve for x
    x = 8,130,861.26/4,096.47
  6. Step 6: Final answer
    x = 1,984.85

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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.