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Finding the Fourth Proportional to 4,614.60, 6,369.14 and 2,822.70

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Solution

The fourth proportional to 4,614.60, 6,369.14 and 2,822.70 is: 3,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.60 : 6,369.14 = 2,822.70 : x
  2. Step 2: Convert to fraction form
    4,614.60/6,369.14 = 2,822.70/x
  3. Step 3: Cross multiply
    4,614.60x = 6,369.14 × 2,822.70
  4. Step 4: Simplify right side
    4,614.60x = 17,978,171.48
  5. Step 5: Solve for x
    x = 17,978,171.48/4,614.60
  6. Step 6: Final answer
    x = 3,895.93

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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.