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Finding the Fourth Proportional to 5,888, 8,832 and 2,185.94

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Solution

The fourth proportional to 5,888, 8,832 and 2,185.94 is: 3,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888 : 8,832 = 2,185.94 : x
  2. Step 2: Convert to fraction form
    5,888/8,832 = 2,185.94/x
  3. Step 3: Cross multiply
    5,888x = 8,832 × 2,185.94
  4. Step 4: Simplify right side
    5,888x = 19,306,222.08
  5. Step 5: Solve for x
    x = 19,306,222.08/5,888
  6. Step 6: Final answer
    x = 3,278.91

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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.