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Finding the Fourth Proportional to 3,448.16, 5,172.24 and 1,368.64

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Solution

The fourth proportional to 3,448.16, 5,172.24 and 1,368.64 is: 2,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.16 : 5,172.24 = 1,368.64 : x
  2. Step 2: Convert to fraction form
    3,448.16/5,172.24 = 1,368.64/x
  3. Step 3: Cross multiply
    3,448.16x = 5,172.24 × 1,368.64
  4. Step 4: Simplify right side
    3,448.16x = 7,078,934.55
  5. Step 5: Solve for x
    x = 7,078,934.55/3,448.16
  6. Step 6: Final answer
    x = 2,052.96

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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.