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Finding the Fourth Proportional to 4,832.88, 6,657.48 and 4,122.42

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Solution

The fourth proportional to 4,832.88, 6,657.48 and 4,122.42 is: 5,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.88 : 6,657.48 = 4,122.42 : x
  2. Step 2: Convert to fraction form
    4,832.88/6,657.48 = 4,122.42/x
  3. Step 3: Cross multiply
    4,832.88x = 6,657.48 × 4,122.42
  4. Step 4: Simplify right side
    4,832.88x = 27,444,928.70
  5. Step 5: Solve for x
    x = 27,444,928.70/4,832.88
  6. Step 6: Final answer
    x = 5,678.79

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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.