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Finding the Fourth Proportional to 6,048.52, 9,072.78 and 2,152.96

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Solution

The fourth proportional to 6,048.52, 9,072.78 and 2,152.96 is: 3,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.52 : 9,072.78 = 2,152.96 : x
  2. Step 2: Convert to fraction form
    6,048.52/9,072.78 = 2,152.96/x
  3. Step 3: Cross multiply
    6,048.52x = 9,072.78 × 2,152.96
  4. Step 4: Simplify right side
    6,048.52x = 19,533,332.43
  5. Step 5: Solve for x
    x = 19,533,332.43/6,048.52
  6. Step 6: Final answer
    x = 3,229.44

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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.