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Finding the Fourth Proportional to 4,462.63, 6,158.42 and 2,473.17

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Solution

The fourth proportional to 4,462.63, 6,158.42 and 2,473.17 is: 3,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.63 : 6,158.42 = 2,473.17 : x
  2. Step 2: Convert to fraction form
    4,462.63/6,158.42 = 2,473.17/x
  3. Step 3: Cross multiply
    4,462.63x = 6,158.42 × 2,473.17
  4. Step 4: Simplify right side
    4,462.63x = 15,230,776.43
  5. Step 5: Solve for x
    x = 15,230,776.43/4,462.63
  6. Step 6: Final answer
    x = 3,412.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.