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Finding the Fourth Proportional to 4,049.68, 6,077.08 and 2,321.68

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Solution

The fourth proportional to 4,049.68, 6,077.08 and 2,321.68 is: 3,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.68 : 6,077.08 = 2,321.68 : x
  2. Step 2: Convert to fraction form
    4,049.68/6,077.08 = 2,321.68/x
  3. Step 3: Cross multiply
    4,049.68x = 6,077.08 × 2,321.68
  4. Step 4: Simplify right side
    4,049.68x = 14,109,035.09
  5. Step 5: Solve for x
    x = 14,109,035.09/4,049.68
  6. Step 6: Final answer
    x = 3,483.99

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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.