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Finding the Fourth Proportional to 4,805.62, 6,631.84 and 2,942.62

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Solution

The fourth proportional to 4,805.62, 6,631.84 and 2,942.62 is: 4,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.62 : 6,631.84 = 2,942.62 : x
  2. Step 2: Convert to fraction form
    4,805.62/6,631.84 = 2,942.62/x
  3. Step 3: Cross multiply
    4,805.62x = 6,631.84 × 2,942.62
  4. Step 4: Simplify right side
    4,805.62x = 19,514,985.02
  5. Step 5: Solve for x
    x = 19,514,985.02/4,805.62
  6. Step 6: Final answer
    x = 4,060.87

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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.