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Finding the Fourth Proportional to 3,448.17, 5,172.23 and 1,368.65

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Solution

The fourth proportional to 3,448.17, 5,172.23 and 1,368.65 is: 2,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.17 : 5,172.23 = 1,368.65 : x
  2. Step 2: Convert to fraction form
    3,448.17/5,172.23 = 1,368.65/x
  3. Step 3: Cross multiply
    3,448.17x = 5,172.23 × 1,368.65
  4. Step 4: Simplify right side
    3,448.17x = 7,078,939.89
  5. Step 5: Solve for x
    x = 7,078,939.89/3,448.17
  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.