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Finding the Fourth Proportional to 3,463.57, 5,168.85 and 3,094.21

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Solution

The fourth proportional to 3,463.57, 5,168.85 and 3,094.21 is: 4,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.57 : 5,168.85 = 3,094.21 : x
  2. Step 2: Convert to fraction form
    3,463.57/5,168.85 = 3,094.21/x
  3. Step 3: Cross multiply
    3,463.57x = 5,168.85 × 3,094.21
  4. Step 4: Simplify right side
    3,463.57x = 15,993,507.36
  5. Step 5: Solve for x
    x = 15,993,507.36/3,463.57
  6. Step 6: Final answer
    x = 4,617.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.