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Finding the Fourth Proportional to 3,448.97, 5,171.16 and 2,405.58

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Solution

The fourth proportional to 3,448.97, 5,171.16 and 2,405.58 is: 3,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.97 : 5,171.16 = 2,405.58 : x
  2. Step 2: Convert to fraction form
    3,448.97/5,171.16 = 2,405.58/x
  3. Step 3: Cross multiply
    3,448.97x = 5,171.16 × 2,405.58
  4. Step 4: Simplify right side
    3,448.97x = 12,439,639.07
  5. Step 5: Solve for x
    x = 12,439,639.07/3,448.97
  6. Step 6: Final answer
    x = 3,606.77

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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.