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Finding the Fourth Proportional to 3,513.40, 5,270.19 and 1,664.08

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Solution

The fourth proportional to 3,513.40, 5,270.19 and 1,664.08 is: 2,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.40 : 5,270.19 = 1,664.08 : x
  2. Step 2: Convert to fraction form
    3,513.40/5,270.19 = 1,664.08/x
  3. Step 3: Cross multiply
    3,513.40x = 5,270.19 × 1,664.08
  4. Step 4: Simplify right side
    3,513.40x = 8,770,017.78
  5. Step 5: Solve for x
    x = 8,770,017.78/3,513.40
  6. Step 6: Final answer
    x = 2,496.16

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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.