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Finding the Fourth Proportional to 3,888, 5,832.96 and 1,152

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Solution

The fourth proportional to 3,888, 5,832.96 and 1,152 is: 1,728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888 : 5,832.96 = 1,152 : x
  2. Step 2: Convert to fraction form
    3,888/5,832.96 = 1,152/x
  3. Step 3: Cross multiply
    3,888x = 5,832.96 × 1,152
  4. Step 4: Simplify right side
    3,888x = 6,719,569.92
  5. Step 5: Solve for x
    x = 6,719,569.92/3,888
  6. Step 6: Final answer
    x = 1,728.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.