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Finding the Fourth Proportional to 3,661.81, 5,055.63 and 2,405.09

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Solution

The fourth proportional to 3,661.81, 5,055.63 and 2,405.09 is: 3,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.81 : 5,055.63 = 2,405.09 : x
  2. Step 2: Convert to fraction form
    3,661.81/5,055.63 = 2,405.09/x
  3. Step 3: Cross multiply
    3,661.81x = 5,055.63 × 2,405.09
  4. Step 4: Simplify right side
    3,661.81x = 12,159,245.16
  5. Step 5: Solve for x
    x = 12,159,245.16/3,661.81
  6. Step 6: Final answer
    x = 3,320.56

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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.