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Finding the Fourth Proportional to 3,662.81, 5,057.01 and 2,406.10

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Solution

The fourth proportional to 3,662.81, 5,057.01 and 2,406.10 is: 3,321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.81 : 5,057.01 = 2,406.10 : x
  2. Step 2: Convert to fraction form
    3,662.81/5,057.01 = 2,406.10/x
  3. Step 3: Cross multiply
    3,662.81x = 5,057.01 × 2,406.10
  4. Step 4: Simplify right side
    3,662.81x = 12,167,671.76
  5. Step 5: Solve for x
    x = 12,167,671.76/3,662.81
  6. Step 6: Final answer
    x = 3,321.95

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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.