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Finding the Fourth Proportional to 4,562.42, 6,840.90 and 2,217.81

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Solution

The fourth proportional to 4,562.42, 6,840.90 and 2,217.81 is: 3,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.42 : 6,840.90 = 2,217.81 : x
  2. Step 2: Convert to fraction form
    4,562.42/6,840.90 = 2,217.81/x
  3. Step 3: Cross multiply
    4,562.42x = 6,840.90 × 2,217.81
  4. Step 4: Simplify right side
    4,562.42x = 15,171,816.43
  5. Step 5: Solve for x
    x = 15,171,816.43/4,562.42
  6. Step 6: Final answer
    x = 3,325.39

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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.