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Finding the Fourth Proportional to 3,463.46, 5,168.16 and 3,090.71

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Solution

The fourth proportional to 3,463.46, 5,168.16 and 3,090.71 is: 4,611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.46 : 5,168.16 = 3,090.71 : x
  2. Step 2: Convert to fraction form
    3,463.46/5,168.16 = 3,090.71/x
  3. Step 3: Cross multiply
    3,463.46x = 5,168.16 × 3,090.71
  4. Step 4: Simplify right side
    3,463.46x = 15,973,257.95
  5. Step 5: Solve for x
    x = 15,973,257.95/3,463.46
  6. Step 6: Final answer
    x = 4,611.94

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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.