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Finding the Fourth Proportional to 4,491.44, 6,740.64 and 3,114.40

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Solution

The fourth proportional to 4,491.44, 6,740.64 and 3,114.40 is: 4,674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.44 : 6,740.64 = 3,114.40 : x
  2. Step 2: Convert to fraction form
    4,491.44/6,740.64 = 3,114.40/x
  3. Step 3: Cross multiply
    4,491.44x = 6,740.64 × 3,114.40
  4. Step 4: Simplify right side
    4,491.44x = 20,993,049.22
  5. Step 5: Solve for x
    x = 20,993,049.22/4,491.44
  6. Step 6: Final answer
    x = 4,674.01

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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.