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Finding the Fourth Proportional to 3,405.25, 4,699.25 and 2,165.41

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Solution

The fourth proportional to 3,405.25, 4,699.25 and 2,165.41 is: 2,988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.25 : 4,699.25 = 2,165.41 : x
  2. Step 2: Convert to fraction form
    3,405.25/4,699.25 = 2,165.41/x
  3. Step 3: Cross multiply
    3,405.25x = 4,699.25 × 2,165.41
  4. Step 4: Simplify right side
    3,405.25x = 10,175,792.12
  5. Step 5: Solve for x
    x = 10,175,792.12/3,405.25
  6. Step 6: Final answer
    x = 2,988.27

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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.