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Finding the Fourth Proportional to 3,747.36, 5,172.72 and 3,047.52

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Solution

The fourth proportional to 3,747.36, 5,172.72 and 3,047.52 is: 4,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.36 : 5,172.72 = 3,047.52 : x
  2. Step 2: Convert to fraction form
    3,747.36/5,172.72 = 3,047.52/x
  3. Step 3: Cross multiply
    3,747.36x = 5,172.72 × 3,047.52
  4. Step 4: Simplify right side
    3,747.36x = 15,763,967.65
  5. Step 5: Solve for x
    x = 15,763,967.65/3,747.36
  6. Step 6: Final answer
    x = 4,206.69

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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.